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Finding the Third Proportional to 52,711.50 and 114,240

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Solution

The third proportional to 52,711.50 and 114,240 is: 247,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.50 : 114,240 = 114,240 : x
  2. Step 2: Convert to fraction form
    52,711.50/114,240 = 114,240/x
  3. Step 3: Cross multiply
    52,711.50x = 114,240 × 114,240
  4. Step 4: Simplify right side
    52,711.50x = 13,050,777,600
  5. Step 5: Solve for x
    x = 13,050,777,600/52,711.50
  6. Step 6: Final answer
    x = 247,588.81

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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.