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Finding the Third Proportional to 42,721 and 93,670

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Solution

The third proportional to 42,721 and 93,670 is: 205,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,721 : 93,670 = 93,670 : x
  2. Step 2: Convert to fraction form
    42,721/93,670 = 93,670/x
  3. Step 3: Cross multiply
    42,721x = 93,670 × 93,670
  4. Step 4: Simplify right side
    42,721x = 8,774,068,900
  5. Step 5: Solve for x
    x = 8,774,068,900/42,721
  6. Step 6: Final answer
    x = 205,380.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.