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Finding the Third Proportional to 52,570 and 83,691

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Solution

The third proportional to 52,570 and 83,691 is: 133,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570 : 83,691 = 83,691 : x
  2. Step 2: Convert to fraction form
    52,570/83,691 = 83,691/x
  3. Step 3: Cross multiply
    52,570x = 83,691 × 83,691
  4. Step 4: Simplify right side
    52,570x = 7,004,183,481
  5. Step 5: Solve for x
    x = 7,004,183,481/52,570
  6. Step 6: Final answer
    x = 133,235.37

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Why These Related Problems?

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