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Finding the Third Proportional to 67,782 and 101,673

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Solution

The third proportional to 67,782 and 101,673 is: 152,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782 : 101,673 = 101,673 : x
  2. Step 2: Convert to fraction form
    67,782/101,673 = 101,673/x
  3. Step 3: Cross multiply
    67,782x = 101,673 × 101,673
  4. Step 4: Simplify right side
    67,782x = 10,337,398,929
  5. Step 5: Solve for x
    x = 10,337,398,929/67,782
  6. Step 6: Final answer
    x = 152,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.