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Finding the Third Proportional to 65,472 and 98,100

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Solution

The third proportional to 65,472 and 98,100 is: 146,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 98,100 = 98,100 : x
  2. Step 2: Convert to fraction form
    65,472/98,100 = 98,100/x
  3. Step 3: Cross multiply
    65,472x = 98,100 × 98,100
  4. Step 4: Simplify right side
    65,472x = 9,623,610,000
  5. Step 5: Solve for x
    x = 9,623,610,000/65,472
  6. Step 6: Final answer
    x = 146,988.18

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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.