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Finding the Third Proportional to 65,737 and 98,491

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Solution

The third proportional to 65,737 and 98,491 is: 147,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,737 : 98,491 = 98,491 : x
  2. Step 2: Convert to fraction form
    65,737/98,491 = 98,491/x
  3. Step 3: Cross multiply
    65,737x = 98,491 × 98,491
  4. Step 4: Simplify right side
    65,737x = 9,700,477,081
  5. Step 5: Solve for x
    x = 9,700,477,081/65,737
  6. Step 6: Final answer
    x = 147,564.95

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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.