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Finding the Third Proportional to 124,531.50 and 174,744

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Solution

The third proportional to 124,531.50 and 174,744 is: 245,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,531.50 : 174,744 = 174,744 : x
  2. Step 2: Convert to fraction form
    124,531.50/174,744 = 174,744/x
  3. Step 3: Cross multiply
    124,531.50x = 174,744 × 174,744
  4. Step 4: Simplify right side
    124,531.50x = 30,535,465,536
  5. Step 5: Solve for x
    x = 30,535,465,536/124,531.50
  6. Step 6: Final answer
    x = 245,202.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.