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Finding the Third Proportional to 101,436 and 148,398

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Solution

The third proportional to 101,436 and 148,398 is: 217,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,436 : 148,398 = 148,398 : x
  2. Step 2: Convert to fraction form
    101,436/148,398 = 148,398/x
  3. Step 3: Cross multiply
    101,436x = 148,398 × 148,398
  4. Step 4: Simplify right side
    101,436x = 22,021,966,404
  5. Step 5: Solve for x
    x = 22,021,966,404/101,436
  6. Step 6: Final answer
    x = 217,102.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.