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Finding the Third Proportional to 64,442 and 90,747

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Solution

The third proportional to 64,442 and 90,747 is: 127,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,442 : 90,747 = 90,747 : x
  2. Step 2: Convert to fraction form
    64,442/90,747 = 90,747/x
  3. Step 3: Cross multiply
    64,442x = 90,747 × 90,747
  4. Step 4: Simplify right side
    64,442x = 8,235,018,009
  5. Step 5: Solve for x
    x = 8,235,018,009/64,442
  6. Step 6: Final answer
    x = 127,789.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.