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Finding the Third Proportional to 73,972.13 and 120,178.69

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Solution

The third proportional to 73,972.13 and 120,178.69 is: 195,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,972.13 : 120,178.69 = 120,178.69 : x
  2. Step 2: Convert to fraction form
    73,972.13/120,178.69 = 120,178.69/x
  3. Step 3: Cross multiply
    73,972.13x = 120,178.69 × 120,178.69
  4. Step 4: Simplify right side
    73,972.13x = 14,442,916,929.22
  5. Step 5: Solve for x
    x = 14,442,916,929.22/73,972.13
  6. Step 6: Final answer
    x = 195,248.10

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.