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Finding the Third Proportional to 132,423.75 and 170,029.69

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Solution

The third proportional to 132,423.75 and 170,029.69 is: 218,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,423.75 : 170,029.69 = 170,029.69 : x
  2. Step 2: Convert to fraction form
    132,423.75/170,029.69 = 170,029.69/x
  3. Step 3: Cross multiply
    132,423.75x = 170,029.69 × 170,029.69
  4. Step 4: Simplify right side
    132,423.75x = 28,910,094,631.35
  5. Step 5: Solve for x
    x = 28,910,094,631.35/132,423.75
  6. Step 6: Final answer
    x = 218,315.03

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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.