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Finding the Third Proportional to 52,032.38 and 113,491.13

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Solution

The third proportional to 52,032.38 and 113,491.13 is: 247,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.38 : 113,491.13 = 113,491.13 : x
  2. Step 2: Convert to fraction form
    52,032.38/113,491.13 = 113,491.13/x
  3. Step 3: Cross multiply
    52,032.38x = 113,491.13 × 113,491.13
  4. Step 4: Simplify right side
    52,032.38x = 12,880,235,453.77
  5. Step 5: Solve for x
    x = 12,880,235,453.77/52,032.38
  6. Step 6: Final answer
    x = 247,542.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.