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Finding the Third Proportional to 40,329 and 87,559

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Solution

The third proportional to 40,329 and 87,559 is: 190,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,329 : 87,559 = 87,559 : x
  2. Step 2: Convert to fraction form
    40,329/87,559 = 87,559/x
  3. Step 3: Cross multiply
    40,329x = 87,559 × 87,559
  4. Step 4: Simplify right side
    40,329x = 7,666,578,481
  5. Step 5: Solve for x
    x = 7,666,578,481/40,329
  6. Step 6: Final answer
    x = 190,100.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.