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Finding the Third Proportional to 99,514 and 148,906

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Solution

The third proportional to 99,514 and 148,906 is: 222,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,514 : 148,906 = 148,906 : x
  2. Step 2: Convert to fraction form
    99,514/148,906 = 148,906/x
  3. Step 3: Cross multiply
    99,514x = 148,906 × 148,906
  4. Step 4: Simplify right side
    99,514x = 22,172,996,836
  5. Step 5: Solve for x
    x = 22,172,996,836/99,514
  6. Step 6: Final answer
    x = 222,812.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.