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Finding the Third Proportional to 120,687 and 186,360

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Solution

The third proportional to 120,687 and 186,360 is: 287,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,687 : 186,360 = 186,360 : x
  2. Step 2: Convert to fraction form
    120,687/186,360 = 186,360/x
  3. Step 3: Cross multiply
    120,687x = 186,360 × 186,360
  4. Step 4: Simplify right side
    120,687x = 34,730,049,600
  5. Step 5: Solve for x
    x = 34,730,049,600/120,687
  6. Step 6: Final answer
    x = 287,769.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.