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Finding the Third Proportional to 71,375 and 107,062

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Solution

The third proportional to 71,375 and 107,062 is: 160,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375 : 107,062 = 107,062 : x
  2. Step 2: Convert to fraction form
    71,375/107,062 = 107,062/x
  3. Step 3: Cross multiply
    71,375x = 107,062 × 107,062
  4. Step 4: Simplify right side
    71,375x = 11,462,271,844
  5. Step 5: Solve for x
    x = 11,462,271,844/71,375
  6. Step 6: Final answer
    x = 160,592.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.