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Finding the Third Proportional to 99,511 and 146,350

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Solution

The third proportional to 99,511 and 146,350 is: 215,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,511 : 146,350 = 146,350 : x
  2. Step 2: Convert to fraction form
    99,511/146,350 = 146,350/x
  3. Step 3: Cross multiply
    99,511x = 146,350 × 146,350
  4. Step 4: Simplify right side
    99,511x = 21,418,322,500
  5. Step 5: Solve for x
    x = 21,418,322,500/99,511
  6. Step 6: Final answer
    x = 215,235.73

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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.