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Finding the Third Proportional to 44,432 and 95,776

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Solution

The third proportional to 44,432 and 95,776 is: 206,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,432 : 95,776 = 95,776 : x
  2. Step 2: Convert to fraction form
    44,432/95,776 = 95,776/x
  3. Step 3: Cross multiply
    44,432x = 95,776 × 95,776
  4. Step 4: Simplify right side
    44,432x = 9,173,042,176
  5. Step 5: Solve for x
    x = 9,173,042,176/44,432
  6. Step 6: Final answer
    x = 206,451.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.