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Finding the Third Proportional to 58,223 and 124,747

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Solution

The third proportional to 58,223 and 124,747 is: 267,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,223 : 124,747 = 124,747 : x
  2. Step 2: Convert to fraction form
    58,223/124,747 = 124,747/x
  3. Step 3: Cross multiply
    58,223x = 124,747 × 124,747
  4. Step 4: Simplify right side
    58,223x = 15,561,814,009
  5. Step 5: Solve for x
    x = 15,561,814,009/58,223
  6. Step 6: Final answer
    x = 267,279.49

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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.