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Finding the Third Proportional to 65,624 and 98,498

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Solution

The third proportional to 65,624 and 98,498 is: 147,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,624 : 98,498 = 98,498 : x
  2. Step 2: Convert to fraction form
    65,624/98,498 = 98,498/x
  3. Step 3: Cross multiply
    65,624x = 98,498 × 98,498
  4. Step 4: Simplify right side
    65,624x = 9,701,856,004
  5. Step 5: Solve for x
    x = 9,701,856,004/65,624
  6. Step 6: Final answer
    x = 147,840.06

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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.