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Finding the Third Proportional to 48,151.13 and 75,142.69

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Solution

The third proportional to 48,151.13 and 75,142.69 is: 117,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,151.13 : 75,142.69 = 75,142.69 : x
  2. Step 2: Convert to fraction form
    48,151.13/75,142.69 = 75,142.69/x
  3. Step 3: Cross multiply
    48,151.13x = 75,142.69 × 75,142.69
  4. Step 4: Simplify right side
    48,151.13x = 5,646,423,484.72
  5. Step 5: Solve for x
    x = 5,646,423,484.72/48,151.13
  6. Step 6: Final answer
    x = 117,264.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.