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Finding the Third Proportional to 31,167.28 and 75,140.16

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Solution

The third proportional to 31,167.28 and 75,140.16 is: 181,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.28 : 75,140.16 = 75,140.16 : x
  2. Step 2: Convert to fraction form
    31,167.28/75,140.16 = 75,140.16/x
  3. Step 3: Cross multiply
    31,167.28x = 75,140.16 × 75,140.16
  4. Step 4: Simplify right side
    31,167.28x = 5,646,043,081.27
  5. Step 5: Solve for x
    x = 5,646,043,081.27/31,167.28
  6. Step 6: Final answer
    x = 181,152.89

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.