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Finding the Third Proportional to 106,764 and 247,132

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Solution

The third proportional to 106,764 and 247,132 is: 572,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,764 : 247,132 = 247,132 : x
  2. Step 2: Convert to fraction form
    106,764/247,132 = 247,132/x
  3. Step 3: Cross multiply
    106,764x = 247,132 × 247,132
  4. Step 4: Simplify right side
    106,764x = 61,074,225,424
  5. Step 5: Solve for x
    x = 61,074,225,424/106,764
  6. Step 6: Final answer
    x = 572,048.87

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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.