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Finding the Third Proportional to 71,864.63 and 151,176.56

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Solution

The third proportional to 71,864.63 and 151,176.56 is: 318,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.63 : 151,176.56 = 151,176.56 : x
  2. Step 2: Convert to fraction form
    71,864.63/151,176.56 = 151,176.56/x
  3. Step 3: Cross multiply
    71,864.63x = 151,176.56 × 151,176.56
  4. Step 4: Simplify right side
    71,864.63x = 22,854,353,049.32
  5. Step 5: Solve for x
    x = 22,854,353,049.32/71,864.63
  6. Step 6: Final answer
    x = 318,019.51

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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.