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Finding the Third Proportional to 80,484 and 118,262

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Solution

The third proportional to 80,484 and 118,262 is: 173,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,484 : 118,262 = 118,262 : x
  2. Step 2: Convert to fraction form
    80,484/118,262 = 118,262/x
  3. Step 3: Cross multiply
    80,484x = 118,262 × 118,262
  4. Step 4: Simplify right side
    80,484x = 13,985,900,644
  5. Step 5: Solve for x
    x = 13,985,900,644/80,484
  6. Step 6: Final answer
    x = 173,772.43

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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.