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Finding the Third Proportional to 69,538 and 148,922

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Solution

The third proportional to 69,538 and 148,922 is: 318,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538 : 148,922 = 148,922 : x
  2. Step 2: Convert to fraction form
    69,538/148,922 = 148,922/x
  3. Step 3: Cross multiply
    69,538x = 148,922 × 148,922
  4. Step 4: Simplify right side
    69,538x = 22,177,762,084
  5. Step 5: Solve for x
    x = 22,177,762,084/69,538
  6. Step 6: Final answer
    x = 318,930.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.