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Finding the Third Proportional to 69,348 and 143,448

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Solution

The third proportional to 69,348 and 143,448 is: 296,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,348 : 143,448 = 143,448 : x
  2. Step 2: Convert to fraction form
    69,348/143,448 = 143,448/x
  3. Step 3: Cross multiply
    69,348x = 143,448 × 143,448
  4. Step 4: Simplify right side
    69,348x = 20,577,328,704
  5. Step 5: Solve for x
    x = 20,577,328,704/69,348
  6. Step 6: Final answer
    x = 296,725.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.