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Finding the Third Proportional to 69,544 and 94,471

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Solution

The third proportional to 69,544 and 94,471 is: 128,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544 : 94,471 = 94,471 : x
  2. Step 2: Convert to fraction form
    69,544/94,471 = 94,471/x
  3. Step 3: Cross multiply
    69,544x = 94,471 × 94,471
  4. Step 4: Simplify right side
    69,544x = 8,924,769,841
  5. Step 5: Solve for x
    x = 8,924,769,841/69,544
  6. Step 6: Final answer
    x = 128,332.71

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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.