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Finding the Third Proportional to 126,565.88 and 184,852.13

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Solution

The third proportional to 126,565.88 and 184,852.13 is: 269,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,565.88 : 184,852.13 = 184,852.13 : x
  2. Step 2: Convert to fraction form
    126,565.88/184,852.13 = 184,852.13/x
  3. Step 3: Cross multiply
    126,565.88x = 184,852.13 × 184,852.13
  4. Step 4: Simplify right side
    126,565.88x = 34,170,308,117.02
  5. Step 5: Solve for x
    x = 34,170,308,117.02/126,565.88
  6. Step 6: Final answer
    x = 269,980.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.