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Finding the Third Proportional to 103,966 and 156,981

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Solution

The third proportional to 103,966 and 156,981 is: 237,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,966 : 156,981 = 156,981 : x
  2. Step 2: Convert to fraction form
    103,966/156,981 = 156,981/x
  3. Step 3: Cross multiply
    103,966x = 156,981 × 156,981
  4. Step 4: Simplify right side
    103,966x = 24,643,034,361
  5. Step 5: Solve for x
    x = 24,643,034,361/103,966
  6. Step 6: Final answer
    x = 237,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.