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Finding the Third Proportional to 59,304 and 128,442

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Solution

The third proportional to 59,304 and 128,442 is: 278,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,304 : 128,442 = 128,442 : x
  2. Step 2: Convert to fraction form
    59,304/128,442 = 128,442/x
  3. Step 3: Cross multiply
    59,304x = 128,442 × 128,442
  4. Step 4: Simplify right side
    59,304x = 16,497,347,364
  5. Step 5: Solve for x
    x = 16,497,347,364/59,304
  6. Step 6: Final answer
    x = 278,182.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.