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Finding the Third Proportional to 65,716 and 148,981

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Solution

The third proportional to 65,716 and 148,981 is: 337,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716 : 148,981 = 148,981 : x
  2. Step 2: Convert to fraction form
    65,716/148,981 = 148,981/x
  3. Step 3: Cross multiply
    65,716x = 148,981 × 148,981
  4. Step 4: Simplify right side
    65,716x = 22,195,338,361
  5. Step 5: Solve for x
    x = 22,195,338,361/65,716
  6. Step 6: Final answer
    x = 337,746.34

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.