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Finding the Third Proportional to 59,400 and 128,496

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Solution

The third proportional to 59,400 and 128,496 is: 277,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 128,496 = 128,496 : x
  2. Step 2: Convert to fraction form
    59,400/128,496 = 128,496/x
  3. Step 3: Cross multiply
    59,400x = 128,496 × 128,496
  4. Step 4: Simplify right side
    59,400x = 16,511,222,016
  5. Step 5: Solve for x
    x = 16,511,222,016/59,400
  6. Step 6: Final answer
    x = 277,966.70

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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.