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Finding the Third Proportional to 115,753 and 245,717

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Solution

The third proportional to 115,753 and 245,717 is: 521,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,753 : 245,717 = 245,717 : x
  2. Step 2: Convert to fraction form
    115,753/245,717 = 245,717/x
  3. Step 3: Cross multiply
    115,753x = 245,717 × 245,717
  4. Step 4: Simplify right side
    115,753x = 60,376,844,089
  5. Step 5: Solve for x
    x = 60,376,844,089/115,753
  6. Step 6: Final answer
    x = 521,600.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.