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Finding the Third Proportional to 65,642 and 98,442

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Solution

The third proportional to 65,642 and 98,442 is: 147,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642 : 98,442 = 98,442 : x
  2. Step 2: Convert to fraction form
    65,642/98,442 = 98,442/x
  3. Step 3: Cross multiply
    65,642x = 98,442 × 98,442
  4. Step 4: Simplify right side
    65,642x = 9,690,827,364
  5. Step 5: Solve for x
    x = 9,690,827,364/65,642
  6. Step 6: Final answer
    x = 147,631.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.