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Finding the Third Proportional to 70,466 and 95,979

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Solution

The third proportional to 70,466 and 95,979 is: 130,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,466 : 95,979 = 95,979 : x
  2. Step 2: Convert to fraction form
    70,466/95,979 = 95,979/x
  3. Step 3: Cross multiply
    70,466x = 95,979 × 95,979
  4. Step 4: Simplify right side
    70,466x = 9,211,968,441
  5. Step 5: Solve for x
    x = 9,211,968,441/70,466
  6. Step 6: Final answer
    x = 130,729.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.