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Finding the Third Proportional to 112,552 and 171,685

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Solution

The third proportional to 112,552 and 171,685 is: 261,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,552 : 171,685 = 171,685 : x
  2. Step 2: Convert to fraction form
    112,552/171,685 = 171,685/x
  3. Step 3: Cross multiply
    112,552x = 171,685 × 171,685
  4. Step 4: Simplify right side
    112,552x = 29,475,739,225
  5. Step 5: Solve for x
    x = 29,475,739,225/112,552
  6. Step 6: Final answer
    x = 261,885.52

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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.