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Finding the Third Proportional to 99,558 and 146,400

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Solution

The third proportional to 99,558 and 146,400 is: 215,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,558 : 146,400 = 146,400 : x
  2. Step 2: Convert to fraction form
    99,558/146,400 = 146,400/x
  3. Step 3: Cross multiply
    99,558x = 146,400 × 146,400
  4. Step 4: Simplify right side
    99,558x = 21,432,960,000
  5. Step 5: Solve for x
    x = 21,432,960,000/99,558
  6. Step 6: Final answer
    x = 215,281.14

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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.