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Finding the Third Proportional to 121,828.25 and 187,500

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Solution

The third proportional to 121,828.25 and 187,500 is: 288,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,828.25 : 187,500 = 187,500 : x
  2. Step 2: Convert to fraction form
    121,828.25/187,500 = 187,500/x
  3. Step 3: Cross multiply
    121,828.25x = 187,500 × 187,500
  4. Step 4: Simplify right side
    121,828.25x = 35,156,250,000
  5. Step 5: Solve for x
    x = 35,156,250,000/121,828.25
  6. Step 6: Final answer
    x = 288,572.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.