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Finding the Third Proportional to 99,534 and 146,397

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Solution

The third proportional to 99,534 and 146,397 is: 215,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 146,397 = 146,397 : x
  2. Step 2: Convert to fraction form
    99,534/146,397 = 146,397/x
  3. Step 3: Cross multiply
    99,534x = 146,397 × 146,397
  4. Step 4: Simplify right side
    99,534x = 21,432,081,609
  5. Step 5: Solve for x
    x = 21,432,081,609/99,534
  6. Step 6: Final answer
    x = 215,324.23

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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.