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Finding the Third Proportional to 122,424.50 and 187,258.75

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Solution

The third proportional to 122,424.50 and 187,258.75 is: 286,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,424.50 : 187,258.75 = 187,258.75 : x
  2. Step 2: Convert to fraction form
    122,424.50/187,258.75 = 187,258.75/x
  3. Step 3: Cross multiply
    122,424.50x = 187,258.75 × 187,258.75
  4. Step 4: Simplify right side
    122,424.50x = 35,065,839,451.56
  5. Step 5: Solve for x
    x = 35,065,839,451.56/122,424.50
  6. Step 6: Final answer
    x = 286,428.28

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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.