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Finding the Third Proportional to 65,630 and 101,001

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Solution

The third proportional to 65,630 and 101,001 is: 155,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,630 : 101,001 = 101,001 : x
  2. Step 2: Convert to fraction form
    65,630/101,001 = 101,001/x
  3. Step 3: Cross multiply
    65,630x = 101,001 × 101,001
  4. Step 4: Simplify right side
    65,630x = 10,201,202,001
  5. Step 5: Solve for x
    x = 10,201,202,001/65,630
  6. Step 6: Final answer
    x = 155,435.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.