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Finding the Third Proportional to 137,497.50 and 187,332.75

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Solution

The third proportional to 137,497.50 and 187,332.75 is: 255,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.50 : 187,332.75 = 187,332.75 : x
  2. Step 2: Convert to fraction form
    137,497.50/187,332.75 = 187,332.75/x
  3. Step 3: Cross multiply
    137,497.50x = 187,332.75 × 187,332.75
  4. Step 4: Simplify right side
    137,497.50x = 35,093,559,222.56
  5. Step 5: Solve for x
    x = 35,093,559,222.56/137,497.50
  6. Step 6: Final answer
    x = 255,230.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.