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Finding the Third Proportional to 65,734 and 98,487

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Solution

The third proportional to 65,734 and 98,487 is: 147,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734 : 98,487 = 98,487 : x
  2. Step 2: Convert to fraction form
    65,734/98,487 = 98,487/x
  3. Step 3: Cross multiply
    65,734x = 98,487 × 98,487
  4. Step 4: Simplify right side
    65,734x = 9,699,689,169
  5. Step 5: Solve for x
    x = 9,699,689,169/65,734
  6. Step 6: Final answer
    x = 147,559.70

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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.