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Finding the Third Proportional to 73,850 and 111,654

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Solution

The third proportional to 73,850 and 111,654 is: 168,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,850 : 111,654 = 111,654 : x
  2. Step 2: Convert to fraction form
    73,850/111,654 = 111,654/x
  3. Step 3: Cross multiply
    73,850x = 111,654 × 111,654
  4. Step 4: Simplify right side
    73,850x = 12,466,615,716
  5. Step 5: Solve for x
    x = 12,466,615,716/73,850
  6. Step 6: Final answer
    x = 168,809.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.