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Finding the Third Proportional to 61,813 and 88,507

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Solution

The third proportional to 61,813 and 88,507 is: 126,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,813 : 88,507 = 88,507 : x
  2. Step 2: Convert to fraction form
    61,813/88,507 = 88,507/x
  3. Step 3: Cross multiply
    61,813x = 88,507 × 88,507
  4. Step 4: Simplify right side
    61,813x = 7,833,489,049
  5. Step 5: Solve for x
    x = 7,833,489,049/61,813
  6. Step 6: Final answer
    x = 126,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.