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Finding the Third Proportional to 66,969 and 101,317

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Solution

The third proportional to 66,969 and 101,317 is: 153,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 101,317 = 101,317 : x
  2. Step 2: Convert to fraction form
    66,969/101,317 = 101,317/x
  3. Step 3: Cross multiply
    66,969x = 101,317 × 101,317
  4. Step 4: Simplify right side
    66,969x = 10,265,134,489
  5. Step 5: Solve for x
    x = 10,265,134,489/66,969
  6. Step 6: Final answer
    x = 153,281.88

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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.