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Finding the Third Proportional to 59,376 and 128,448

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Solution

The third proportional to 59,376 and 128,448 is: 277,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,376 : 128,448 = 128,448 : x
  2. Step 2: Convert to fraction form
    59,376/128,448 = 128,448/x
  3. Step 3: Cross multiply
    59,376x = 128,448 × 128,448
  4. Step 4: Simplify right side
    59,376x = 16,498,888,704
  5. Step 5: Solve for x
    x = 16,498,888,704/59,376
  6. Step 6: Final answer
    x = 277,871.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.