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Finding the Third Proportional to 69,624 and 112,104

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Solution

The third proportional to 69,624 and 112,104 is: 180,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,624 : 112,104 = 112,104 : x
  2. Step 2: Convert to fraction form
    69,624/112,104 = 112,104/x
  3. Step 3: Cross multiply
    69,624x = 112,104 × 112,104
  4. Step 4: Simplify right side
    69,624x = 12,567,306,816
  5. Step 5: Solve for x
    x = 12,567,306,816/69,624
  6. Step 6: Final answer
    x = 180,502.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.