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Finding the Third Proportional to 124,611.54 and 186,878.39

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Solution

The third proportional to 124,611.54 and 186,878.39 is: 280,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,611.54 : 186,878.39 = 186,878.39 : x
  2. Step 2: Convert to fraction form
    124,611.54/186,878.39 = 186,878.39/x
  3. Step 3: Cross multiply
    124,611.54x = 186,878.39 × 186,878.39
  4. Step 4: Simplify right side
    124,611.54x = 34,923,532,882.59
  5. Step 5: Solve for x
    x = 34,923,532,882.59/124,611.54
  6. Step 6: Final answer
    x = 280,259.22

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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.