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Finding the Third Proportional to 71,865.28 and 151,178.06

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Solution

The third proportional to 71,865.28 and 151,178.06 is: 318,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,865.28 : 151,178.06 = 151,178.06 : x
  2. Step 2: Convert to fraction form
    71,865.28/151,178.06 = 151,178.06/x
  3. Step 3: Cross multiply
    71,865.28x = 151,178.06 × 151,178.06
  4. Step 4: Simplify right side
    71,865.28x = 22,854,806,581.25
  5. Step 5: Solve for x
    x = 22,854,806,581.25/71,865.28
  6. Step 6: Final answer
    x = 318,022.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.