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Finding the Third Proportional to 63,892 and 98,070

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Solution

The third proportional to 63,892 and 98,070 is: 150,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,892 : 98,070 = 98,070 : x
  2. Step 2: Convert to fraction form
    63,892/98,070 = 98,070/x
  3. Step 3: Cross multiply
    63,892x = 98,070 × 98,070
  4. Step 4: Simplify right side
    63,892x = 9,617,724,900
  5. Step 5: Solve for x
    x = 9,617,724,900/63,892
  6. Step 6: Final answer
    x = 150,530.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.