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Finding the Third Proportional to 122,337.50 and 187,163.06

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Solution

The third proportional to 122,337.50 and 187,163.06 is: 286,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,337.50 : 187,163.06 = 187,163.06 : x
  2. Step 2: Convert to fraction form
    122,337.50/187,163.06 = 187,163.06/x
  3. Step 3: Cross multiply
    122,337.50x = 187,163.06 × 187,163.06
  4. Step 4: Simplify right side
    122,337.50x = 35,030,011,964.38
  5. Step 5: Solve for x
    x = 35,030,011,964.38/122,337.50
  6. Step 6: Final answer
    x = 286,339.12

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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.