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Finding the Third Proportional to 120,584 and 177,267

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Solution

The third proportional to 120,584 and 177,267 is: 260,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584 : 177,267 = 177,267 : x
  2. Step 2: Convert to fraction form
    120,584/177,267 = 177,267/x
  3. Step 3: Cross multiply
    120,584x = 177,267 × 177,267
  4. Step 4: Simplify right side
    120,584x = 31,423,589,289
  5. Step 5: Solve for x
    x = 31,423,589,289/120,584
  6. Step 6: Final answer
    x = 260,595.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.