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Finding the Third Proportional to 42,150 and 97,581

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Solution

The third proportional to 42,150 and 97,581 is: 225,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150 : 97,581 = 97,581 : x
  2. Step 2: Convert to fraction form
    42,150/97,581 = 97,581/x
  3. Step 3: Cross multiply
    42,150x = 97,581 × 97,581
  4. Step 4: Simplify right side
    42,150x = 9,522,051,561
  5. Step 5: Solve for x
    x = 9,522,051,561/42,150
  6. Step 6: Final answer
    x = 225,908.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.