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Finding the Third Proportional to 65,872.50 and 98,629

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Solution

The third proportional to 65,872.50 and 98,629 is: 147,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.50 : 98,629 = 98,629 : x
  2. Step 2: Convert to fraction form
    65,872.50/98,629 = 98,629/x
  3. Step 3: Cross multiply
    65,872.50x = 98,629 × 98,629
  4. Step 4: Simplify right side
    65,872.50x = 9,727,679,641
  5. Step 5: Solve for x
    x = 9,727,679,641/65,872.50
  6. Step 6: Final answer
    x = 147,674.37

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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.