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Finding the Third Proportional to 75,846.38 and 109,251.28

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Solution

The third proportional to 75,846.38 and 109,251.28 is: 157,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.38 : 109,251.28 = 109,251.28 : x
  2. Step 2: Convert to fraction form
    75,846.38/109,251.28 = 109,251.28/x
  3. Step 3: Cross multiply
    75,846.38x = 109,251.28 × 109,251.28
  4. Step 4: Simplify right side
    75,846.38x = 11,935,842,454.77
  5. Step 5: Solve for x
    x = 11,935,842,454.77/75,846.38
  6. Step 6: Final answer
    x = 157,368.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.