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Finding the Third Proportional to 73,932 and 114,691.50

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Solution

The third proportional to 73,932 and 114,691.50 is: 177,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932 : 114,691.50 = 114,691.50 : x
  2. Step 2: Convert to fraction form
    73,932/114,691.50 = 114,691.50/x
  3. Step 3: Cross multiply
    73,932x = 114,691.50 × 114,691.50
  4. Step 4: Simplify right side
    73,932x = 13,154,140,172.25
  5. Step 5: Solve for x
    x = 13,154,140,172.25/73,932
  6. Step 6: Final answer
    x = 177,922.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.