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Finding the Third Proportional to 52,382 and 113,132

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Solution

The third proportional to 52,382 and 113,132 is: 244,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382 : 113,132 = 113,132 : x
  2. Step 2: Convert to fraction form
    52,382/113,132 = 113,132/x
  3. Step 3: Cross multiply
    52,382x = 113,132 × 113,132
  4. Step 4: Simplify right side
    52,382x = 12,798,849,424
  5. Step 5: Solve for x
    x = 12,798,849,424/52,382
  6. Step 6: Final answer
    x = 244,336.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.