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Finding the Third Proportional to 84,531 and 126,535

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Solution

The third proportional to 84,531 and 126,535 is: 189,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,531 : 126,535 = 126,535 : x
  2. Step 2: Convert to fraction form
    84,531/126,535 = 126,535/x
  3. Step 3: Cross multiply
    84,531x = 126,535 × 126,535
  4. Step 4: Simplify right side
    84,531x = 16,011,106,225
  5. Step 5: Solve for x
    x = 16,011,106,225/84,531
  6. Step 6: Final answer
    x = 189,411.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.