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Finding the Third Proportional to 124,605 and 270,243

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Solution

The third proportional to 124,605 and 270,243 is: 586,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,605 : 270,243 = 270,243 : x
  2. Step 2: Convert to fraction form
    124,605/270,243 = 270,243/x
  3. Step 3: Cross multiply
    124,605x = 270,243 × 270,243
  4. Step 4: Simplify right side
    124,605x = 73,031,279,049
  5. Step 5: Solve for x
    x = 73,031,279,049/124,605
  6. Step 6: Final answer
    x = 586,102.32

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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.