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Finding the Third Proportional to 124,615.69 and 186,877.69

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Solution

The third proportional to 124,615.69 and 186,877.69 is: 280,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,615.69 : 186,877.69 = 186,877.69 : x
  2. Step 2: Convert to fraction form
    124,615.69/186,877.69 = 186,877.69/x
  3. Step 3: Cross multiply
    124,615.69x = 186,877.69 × 186,877.69
  4. Step 4: Simplify right side
    124,615.69x = 34,923,270,085.35
  5. Step 5: Solve for x
    x = 34,923,270,085.35/124,615.69
  6. Step 6: Final answer
    x = 280,247.78

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