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Finding the Third Proportional to 65,045 and 98,081

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Solution

The third proportional to 65,045 and 98,081 is: 147,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045 : 98,081 = 98,081 : x
  2. Step 2: Convert to fraction form
    65,045/98,081 = 98,081/x
  3. Step 3: Cross multiply
    65,045x = 98,081 × 98,081
  4. Step 4: Simplify right side
    65,045x = 9,619,882,561
  5. Step 5: Solve for x
    x = 9,619,882,561/65,045
  6. Step 6: Final answer
    x = 147,895.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.