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Finding the Third Proportional to 125,532.50 and 175,583.25

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Solution

The third proportional to 125,532.50 and 175,583.25 is: 245,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,532.50 : 175,583.25 = 175,583.25 : x
  2. Step 2: Convert to fraction form
    125,532.50/175,583.25 = 175,583.25/x
  3. Step 3: Cross multiply
    125,532.50x = 175,583.25 × 175,583.25
  4. Step 4: Simplify right side
    125,532.50x = 30,829,477,680.56
  5. Step 5: Solve for x
    x = 30,829,477,680.56/125,532.50
  6. Step 6: Final answer
    x = 245,589.61

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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.