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Finding the Third Proportional to 112,965.75 and 174,916.69

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Solution

The third proportional to 112,965.75 and 174,916.69 is: 270,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,965.75 : 174,916.69 = 174,916.69 : x
  2. Step 2: Convert to fraction form
    112,965.75/174,916.69 = 174,916.69/x
  3. Step 3: Cross multiply
    112,965.75x = 174,916.69 × 174,916.69
  4. Step 4: Simplify right side
    112,965.75x = 30,595,847,565.97
  5. Step 5: Solve for x
    x = 30,595,847,565.97/112,965.75
  6. Step 6: Final answer
    x = 270,841.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.