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Finding the Third Proportional to 67,257.50 and 108,370

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Solution

The third proportional to 67,257.50 and 108,370 is: 174,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257.50 : 108,370 = 108,370 : x
  2. Step 2: Convert to fraction form
    67,257.50/108,370 = 108,370/x
  3. Step 3: Cross multiply
    67,257.50x = 108,370 × 108,370
  4. Step 4: Simplify right side
    67,257.50x = 11,744,056,900
  5. Step 5: Solve for x
    x = 11,744,056,900/67,257.50
  6. Step 6: Final answer
    x = 174,613.34

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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.