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Finding the Third Proportional to 89,769 and 136,519

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Solution

The third proportional to 89,769 and 136,519 is: 207,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769 : 136,519 = 136,519 : x
  2. Step 2: Convert to fraction form
    89,769/136,519 = 136,519/x
  3. Step 3: Cross multiply
    89,769x = 136,519 × 136,519
  4. Step 4: Simplify right side
    89,769x = 18,637,437,361
  5. Step 5: Solve for x
    x = 18,637,437,361/89,769
  6. Step 6: Final answer
    x = 207,615.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.