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Finding the Third Proportional to 65,590 and 98,398

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Solution

The third proportional to 65,590 and 98,398 is: 147,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,590 : 98,398 = 98,398 : x
  2. Step 2: Convert to fraction form
    65,590/98,398 = 98,398/x
  3. Step 3: Cross multiply
    65,590x = 98,398 × 98,398
  4. Step 4: Simplify right side
    65,590x = 9,682,166,404
  5. Step 5: Solve for x
    x = 9,682,166,404/65,590
  6. Step 6: Final answer
    x = 147,616.50

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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.