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Finding the Third Proportional to 76,559 and 108,882

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Solution

The third proportional to 76,559 and 108,882 is: 154,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,559 : 108,882 = 108,882 : x
  2. Step 2: Convert to fraction form
    76,559/108,882 = 108,882/x
  3. Step 3: Cross multiply
    76,559x = 108,882 × 108,882
  4. Step 4: Simplify right side
    76,559x = 11,855,289,924
  5. Step 5: Solve for x
    x = 11,855,289,924/76,559
  6. Step 6: Final answer
    x = 154,851.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.