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Finding the Third Proportional to 126,565.50 and 184,851

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Solution

The third proportional to 126,565.50 and 184,851 is: 269,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,565.50 : 184,851 = 184,851 : x
  2. Step 2: Convert to fraction form
    126,565.50/184,851 = 184,851/x
  3. Step 3: Cross multiply
    126,565.50x = 184,851 × 184,851
  4. Step 4: Simplify right side
    126,565.50x = 34,169,892,201
  5. Step 5: Solve for x
    x = 34,169,892,201/126,565.50
  6. Step 6: Final answer
    x = 269,977.93

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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.