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Finding the Third Proportional to 95,979 and 125,493.75

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Solution

The third proportional to 95,979 and 125,493.75 is: 164,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,979 : 125,493.75 = 125,493.75 : x
  2. Step 2: Convert to fraction form
    95,979/125,493.75 = 125,493.75/x
  3. Step 3: Cross multiply
    95,979x = 125,493.75 × 125,493.75
  4. Step 4: Simplify right side
    95,979x = 15,748,681,289.06
  5. Step 5: Solve for x
    x = 15,748,681,289.06/95,979
  6. Step 6: Final answer
    x = 164,084.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.