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Finding the Third Proportional to 65,449.50 and 98,082

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Solution

The third proportional to 65,449.50 and 98,082 is: 146,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,449.50 : 98,082 = 98,082 : x
  2. Step 2: Convert to fraction form
    65,449.50/98,082 = 98,082/x
  3. Step 3: Cross multiply
    65,449.50x = 98,082 × 98,082
  4. Step 4: Simplify right side
    65,449.50x = 9,620,078,724
  5. Step 5: Solve for x
    x = 9,620,078,724/65,449.50
  6. Step 6: Final answer
    x = 146,984.76

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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.