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Finding the Third Proportional to 101,347 and 158,981

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Solution

The third proportional to 101,347 and 158,981 is: 249,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,347 : 158,981 = 158,981 : x
  2. Step 2: Convert to fraction form
    101,347/158,981 = 158,981/x
  3. Step 3: Cross multiply
    101,347x = 158,981 × 158,981
  4. Step 4: Simplify right side
    101,347x = 25,274,958,361
  5. Step 5: Solve for x
    x = 25,274,958,361/101,347
  6. Step 6: Final answer
    x = 249,390.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.