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Finding the Third Proportional to 99,650 and 146,559

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Solution

The third proportional to 99,650 and 146,559 is: 215,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,650 : 146,559 = 146,559 : x
  2. Step 2: Convert to fraction form
    99,650/146,559 = 146,559/x
  3. Step 3: Cross multiply
    99,650x = 146,559 × 146,559
  4. Step 4: Simplify right side
    99,650x = 21,479,540,481
  5. Step 5: Solve for x
    x = 21,479,540,481/99,650
  6. Step 6: Final answer
    x = 215,549.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.