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Finding the Third Proportional to 125,512.88 and 175,554

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Solution

The third proportional to 125,512.88 and 175,554 is: 245,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,512.88 : 175,554 = 175,554 : x
  2. Step 2: Convert to fraction form
    125,512.88/175,554 = 175,554/x
  3. Step 3: Cross multiply
    125,512.88x = 175,554 × 175,554
  4. Step 4: Simplify right side
    125,512.88x = 30,819,206,916
  5. Step 5: Solve for x
    x = 30,819,206,916/125,512.88
  6. Step 6: Final answer
    x = 245,546.18

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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.