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Finding the Third Proportional to 122,401.13 and 187,251.75

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Solution

The third proportional to 122,401.13 and 187,251.75 is: 286,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,401.13 : 187,251.75 = 187,251.75 : x
  2. Step 2: Convert to fraction form
    122,401.13/187,251.75 = 187,251.75/x
  3. Step 3: Cross multiply
    122,401.13x = 187,251.75 × 187,251.75
  4. Step 4: Simplify right side
    122,401.13x = 35,063,217,878.06
  5. Step 5: Solve for x
    x = 35,063,217,878.06/122,401.13
  6. Step 6: Final answer
    x = 286,461.57

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