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Finding the Third Proportional to 65,634 and 98,431

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Solution

The third proportional to 65,634 and 98,431 is: 147,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,634 : 98,431 = 98,431 : x
  2. Step 2: Convert to fraction form
    65,634/98,431 = 98,431/x
  3. Step 3: Cross multiply
    65,634x = 98,431 × 98,431
  4. Step 4: Simplify right side
    65,634x = 9,688,661,761
  5. Step 5: Solve for x
    x = 9,688,661,761/65,634
  6. Step 6: Final answer
    x = 147,616.51

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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.