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Finding the Third Proportional to 71,907.75 and 107,451.56

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Solution

The third proportional to 71,907.75 and 107,451.56 is: 160,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.75 : 107,451.56 = 107,451.56 : x
  2. Step 2: Convert to fraction form
    71,907.75/107,451.56 = 107,451.56/x
  3. Step 3: Cross multiply
    71,907.75x = 107,451.56 × 107,451.56
  4. Step 4: Simplify right side
    71,907.75x = 11,545,838,283.69
  5. Step 5: Solve for x
    x = 11,545,838,283.69/71,907.75
  6. Step 6: Final answer
    x = 160,564.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.