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Finding the Third Proportional to 44,592 and 95,712

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Solution

The third proportional to 44,592 and 95,712 is: 205,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,592 : 95,712 = 95,712 : x
  2. Step 2: Convert to fraction form
    44,592/95,712 = 95,712/x
  3. Step 3: Cross multiply
    44,592x = 95,712 × 95,712
  4. Step 4: Simplify right side
    44,592x = 9,160,786,944
  5. Step 5: Solve for x
    x = 9,160,786,944/44,592
  6. Step 6: Final answer
    x = 205,435.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.