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Finding the Third Proportional to 122,456.25 and 187,332.75

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Solution

The third proportional to 122,456.25 and 187,332.75 is: 286,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,456.25 : 187,332.75 = 187,332.75 : x
  2. Step 2: Convert to fraction form
    122,456.25/187,332.75 = 187,332.75/x
  3. Step 3: Cross multiply
    122,456.25x = 187,332.75 × 187,332.75
  4. Step 4: Simplify right side
    122,456.25x = 35,093,559,222.56
  5. Step 5: Solve for x
    x = 35,093,559,222.56/122,456.25
  6. Step 6: Final answer
    x = 286,580.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.