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Finding the Third Proportional to 85,373 and 141,569

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Solution

The third proportional to 85,373 and 141,569 is: 234,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,373 : 141,569 = 141,569 : x
  2. Step 2: Convert to fraction form
    85,373/141,569 = 141,569/x
  3. Step 3: Cross multiply
    85,373x = 141,569 × 141,569
  4. Step 4: Simplify right side
    85,373x = 20,041,781,761
  5. Step 5: Solve for x
    x = 20,041,781,761/85,373
  6. Step 6: Final answer
    x = 234,755.51

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.