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Finding the Third Proportional to 65,629 and 101,817

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Solution

The third proportional to 65,629 and 101,817 is: 157,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629 : 101,817 = 101,817 : x
  2. Step 2: Convert to fraction form
    65,629/101,817 = 101,817/x
  3. Step 3: Cross multiply
    65,629x = 101,817 × 101,817
  4. Step 4: Simplify right side
    65,629x = 10,366,701,489
  5. Step 5: Solve for x
    x = 10,366,701,489/65,629
  6. Step 6: Final answer
    x = 157,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.