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Finding the Third Proportional to 71,335.69 and 106,780.78

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Solution

The third proportional to 71,335.69 and 106,780.78 is: 159,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,335.69 : 106,780.78 = 106,780.78 : x
  2. Step 2: Convert to fraction form
    71,335.69/106,780.78 = 106,780.78/x
  3. Step 3: Cross multiply
    71,335.69x = 106,780.78 × 106,780.78
  4. Step 4: Simplify right side
    71,335.69x = 11,402,135,244.36
  5. Step 5: Solve for x
    x = 11,402,135,244.36/71,335.69
  6. Step 6: Final answer
    x = 159,837.74

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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.