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Finding the Third Proportional to 80,267.34 and 118,073.53

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Solution

The third proportional to 80,267.34 and 118,073.53 is: 173,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,267.34 : 118,073.53 = 118,073.53 : x
  2. Step 2: Convert to fraction form
    80,267.34/118,073.53 = 118,073.53/x
  3. Step 3: Cross multiply
    80,267.34x = 118,073.53 × 118,073.53
  4. Step 4: Simplify right side
    80,267.34x = 13,941,358,781.84
  5. Step 5: Solve for x
    x = 13,941,358,781.84/80,267.34
  6. Step 6: Final answer
    x = 173,686.56

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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.