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Finding the Third Proportional to 80,536 and 118,432

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Solution

The third proportional to 80,536 and 118,432 is: 174,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536 : 118,432 = 118,432 : x
  2. Step 2: Convert to fraction form
    80,536/118,432 = 118,432/x
  3. Step 3: Cross multiply
    80,536x = 118,432 × 118,432
  4. Step 4: Simplify right side
    80,536x = 14,026,138,624
  5. Step 5: Solve for x
    x = 14,026,138,624/80,536
  6. Step 6: Final answer
    x = 174,159.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.