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Finding the Third Proportional to 58,677.25 and 126,707.25

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Solution

The third proportional to 58,677.25 and 126,707.25 is: 273,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,677.25 : 126,707.25 = 126,707.25 : x
  2. Step 2: Convert to fraction form
    58,677.25/126,707.25 = 126,707.25/x
  3. Step 3: Cross multiply
    58,677.25x = 126,707.25 × 126,707.25
  4. Step 4: Simplify right side
    58,677.25x = 16,054,727,202.56
  5. Step 5: Solve for x
    x = 16,054,727,202.56/58,677.25
  6. Step 6: Final answer
    x = 273,610.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.