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Finding the Third Proportional to 59,304 and 141,753

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Solution

The third proportional to 59,304 and 141,753 is: 338,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,304 : 141,753 = 141,753 : x
  2. Step 2: Convert to fraction form
    59,304/141,753 = 141,753/x
  3. Step 3: Cross multiply
    59,304x = 141,753 × 141,753
  4. Step 4: Simplify right side
    59,304x = 20,093,913,009
  5. Step 5: Solve for x
    x = 20,093,913,009/59,304
  6. Step 6: Final answer
    x = 338,828.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.