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Finding the Third Proportional to 72,702 and 156,894

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Solution

The third proportional to 72,702 and 156,894 is: 338,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702 : 156,894 = 156,894 : x
  2. Step 2: Convert to fraction form
    72,702/156,894 = 156,894/x
  3. Step 3: Cross multiply
    72,702x = 156,894 × 156,894
  4. Step 4: Simplify right side
    72,702x = 24,615,727,236
  5. Step 5: Solve for x
    x = 24,615,727,236/72,702
  6. Step 6: Final answer
    x = 338,583.91

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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.