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Finding the Third Proportional to 72,730 and 156,934

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Solution

The third proportional to 72,730 and 156,934 is: 338,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,730 : 156,934 = 156,934 : x
  2. Step 2: Convert to fraction form
    72,730/156,934 = 156,934/x
  3. Step 3: Cross multiply
    72,730x = 156,934 × 156,934
  4. Step 4: Simplify right side
    72,730x = 24,628,280,356
  5. Step 5: Solve for x
    x = 24,628,280,356/72,730
  6. Step 6: Final answer
    x = 338,626.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.