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Finding the Third Proportional to 124,537.50 and 186,958.13

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Solution

The third proportional to 124,537.50 and 186,958.13 is: 280,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,537.50 : 186,958.13 = 186,958.13 : x
  2. Step 2: Convert to fraction form
    124,537.50/186,958.13 = 186,958.13/x
  3. Step 3: Cross multiply
    124,537.50x = 186,958.13 × 186,958.13
  4. Step 4: Simplify right side
    124,537.50x = 34,953,340,503.52
  5. Step 5: Solve for x
    x = 34,953,340,503.52/124,537.50
  6. Step 6: Final answer
    x = 280,665.19

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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.