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Finding the Third Proportional to 52,572 and 83,694

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Solution

The third proportional to 52,572 and 83,694 is: 133,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572 : 83,694 = 83,694 : x
  2. Step 2: Convert to fraction form
    52,572/83,694 = 83,694/x
  3. Step 3: Cross multiply
    52,572x = 83,694 × 83,694
  4. Step 4: Simplify right side
    52,572x = 7,004,685,636
  5. Step 5: Solve for x
    x = 7,004,685,636/52,572
  6. Step 6: Final answer
    x = 133,239.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.