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Finding the Third Proportional to 69,310 and 107,277

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Solution

The third proportional to 69,310 and 107,277 is: 166,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,310 : 107,277 = 107,277 : x
  2. Step 2: Convert to fraction form
    69,310/107,277 = 107,277/x
  3. Step 3: Cross multiply
    69,310x = 107,277 × 107,277
  4. Step 4: Simplify right side
    69,310x = 11,508,354,729
  5. Step 5: Solve for x
    x = 11,508,354,729/69,310
  6. Step 6: Final answer
    x = 166,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.