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Finding the Third Proportional to 48,934.13 and 113,382.28

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Solution

The third proportional to 48,934.13 and 113,382.28 is: 262,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934.13 : 113,382.28 = 113,382.28 : x
  2. Step 2: Convert to fraction form
    48,934.13/113,382.28 = 113,382.28/x
  3. Step 3: Cross multiply
    48,934.13x = 113,382.28 × 113,382.28
  4. Step 4: Simplify right side
    48,934.13x = 12,855,541,701.45
  5. Step 5: Solve for x
    x = 12,855,541,701.45/48,934.13
  6. Step 6: Final answer
    x = 262,711.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.