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Finding the Third Proportional to 132,451.03 and 170,074.69

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Solution

The third proportional to 132,451.03 and 170,074.69 is: 218,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,451.03 : 170,074.69 = 170,074.69 : x
  2. Step 2: Convert to fraction form
    132,451.03/170,074.69 = 170,074.69/x
  3. Step 3: Cross multiply
    132,451.03x = 170,074.69 × 170,074.69
  4. Step 4: Simplify right side
    132,451.03x = 28,925,399,328.22
  5. Step 5: Solve for x
    x = 28,925,399,328.22/132,451.03
  6. Step 6: Final answer
    x = 218,385.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.