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Finding the Third Proportional to 112,545.75 and 171,677

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Solution

The third proportional to 112,545.75 and 171,677 is: 261,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,545.75 : 171,677 = 171,677 : x
  2. Step 2: Convert to fraction form
    112,545.75/171,677 = 171,677/x
  3. Step 3: Cross multiply
    112,545.75x = 171,677 × 171,677
  4. Step 4: Simplify right side
    112,545.75x = 29,472,992,329
  5. Step 5: Solve for x
    x = 29,472,992,329/112,545.75
  6. Step 6: Final answer
    x = 261,875.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.