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Finding the Third Proportional to 52,237.50 and 113,223

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Solution

The third proportional to 52,237.50 and 113,223 is: 245,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237.50 : 113,223 = 113,223 : x
  2. Step 2: Convert to fraction form
    52,237.50/113,223 = 113,223/x
  3. Step 3: Cross multiply
    52,237.50x = 113,223 × 113,223
  4. Step 4: Simplify right side
    52,237.50x = 12,819,447,729
  5. Step 5: Solve for x
    x = 12,819,447,729/52,237.50
  6. Step 6: Final answer
    x = 245,406.99

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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.