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Finding the Third Proportional to 124,998.75 and 266,397.75

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Solution

The third proportional to 124,998.75 and 266,397.75 is: 567,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,998.75 : 266,397.75 = 266,397.75 : x
  2. Step 2: Convert to fraction form
    124,998.75/266,397.75 = 266,397.75/x
  3. Step 3: Cross multiply
    124,998.75x = 266,397.75 × 266,397.75
  4. Step 4: Simplify right side
    124,998.75x = 70,967,761,205.06
  5. Step 5: Solve for x
    x = 70,967,761,205.06/124,998.75
  6. Step 6: Final answer
    x = 567,747.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.