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Finding the Third Proportional to 52,687.50 and 114,123

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Solution

The third proportional to 52,687.50 and 114,123 is: 247,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687.50 : 114,123 = 114,123 : x
  2. Step 2: Convert to fraction form
    52,687.50/114,123 = 114,123/x
  3. Step 3: Cross multiply
    52,687.50x = 114,123 × 114,123
  4. Step 4: Simplify right side
    52,687.50x = 13,024,059,129
  5. Step 5: Solve for x
    x = 13,024,059,129/52,687.50
  6. Step 6: Final answer
    x = 247,194.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.