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Finding the Third Proportional to 69,306 and 107,271

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Solution

The third proportional to 69,306 and 107,271 is: 166,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 107,271 = 107,271 : x
  2. Step 2: Convert to fraction form
    69,306/107,271 = 107,271/x
  3. Step 3: Cross multiply
    69,306x = 107,271 × 107,271
  4. Step 4: Simplify right side
    69,306x = 11,507,067,441
  5. Step 5: Solve for x
    x = 11,507,067,441/69,306
  6. Step 6: Final answer
    x = 166,032.77

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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.