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Finding the Third Proportional to 106,587 and 227,943

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Solution

The third proportional to 106,587 and 227,943 is: 487,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,587 : 227,943 = 227,943 : x
  2. Step 2: Convert to fraction form
    106,587/227,943 = 227,943/x
  3. Step 3: Cross multiply
    106,587x = 227,943 × 227,943
  4. Step 4: Simplify right side
    106,587x = 51,958,011,249
  5. Step 5: Solve for x
    x = 51,958,011,249/106,587
  6. Step 6: Final answer
    x = 487,470.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.