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Finding the Third Proportional to 124,672.50 and 186,960.38

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Solution

The third proportional to 124,672.50 and 186,960.38 is: 280,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,672.50 : 186,960.38 = 186,960.38 : x
  2. Step 2: Convert to fraction form
    124,672.50/186,960.38 = 186,960.38/x
  3. Step 3: Cross multiply
    124,672.50x = 186,960.38 × 186,960.38
  4. Step 4: Simplify right side
    124,672.50x = 34,954,181,820.14
  5. Step 5: Solve for x
    x = 34,954,181,820.14/124,672.50
  6. Step 6: Final answer
    x = 280,368.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.