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Finding the Third Proportional to 69,471.42 and 110,631.45

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Solution

The third proportional to 69,471.42 and 110,631.45 is: 176,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,471.42 : 110,631.45 = 110,631.45 : x
  2. Step 2: Convert to fraction form
    69,471.42/110,631.45 = 110,631.45/x
  3. Step 3: Cross multiply
    69,471.42x = 110,631.45 × 110,631.45
  4. Step 4: Simplify right side
    69,471.42x = 12,239,316,691.93
  5. Step 5: Solve for x
    x = 12,239,316,691.93/69,471.42
  6. Step 6: Final answer
    x = 176,177.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.