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Finding the Third Proportional to 106,768 and 247,142

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Solution

The third proportional to 106,768 and 247,142 is: 572,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,768 : 247,142 = 247,142 : x
  2. Step 2: Convert to fraction form
    106,768/247,142 = 247,142/x
  3. Step 3: Cross multiply
    106,768x = 247,142 × 247,142
  4. Step 4: Simplify right side
    106,768x = 61,079,168,164
  5. Step 5: Solve for x
    x = 61,079,168,164/106,768
  6. Step 6: Final answer
    x = 572,073.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.