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Finding the Third Proportional to 69,548 and 148,942

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Solution

The third proportional to 69,548 and 148,942 is: 318,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,548 : 148,942 = 148,942 : x
  2. Step 2: Convert to fraction form
    69,548/148,942 = 148,942/x
  3. Step 3: Cross multiply
    69,548x = 148,942 × 148,942
  4. Step 4: Simplify right side
    69,548x = 22,183,719,364
  5. Step 5: Solve for x
    x = 22,183,719,364/69,548
  6. Step 6: Final answer
    x = 318,969.91

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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.