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Finding the Third Proportional to 133,454.25 and 156,982.13

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Solution

The third proportional to 133,454.25 and 156,982.13 is: 184,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,454.25 : 156,982.13 = 156,982.13 : x
  2. Step 2: Convert to fraction form
    133,454.25/156,982.13 = 156,982.13/x
  3. Step 3: Cross multiply
    133,454.25x = 156,982.13 × 156,982.13
  4. Step 4: Simplify right side
    133,454.25x = 24,643,387,569.52
  5. Step 5: Solve for x
    x = 24,643,387,569.52/133,454.25
  6. Step 6: Final answer
    x = 184,657.95

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.