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Finding the Third Proportional to 59,993.16 and 127,382.63

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Solution

The third proportional to 59,993.16 and 127,382.63 is: 270,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,993.16 : 127,382.63 = 127,382.63 : x
  2. Step 2: Convert to fraction form
    59,993.16/127,382.63 = 127,382.63/x
  3. Step 3: Cross multiply
    59,993.16x = 127,382.63 × 127,382.63
  4. Step 4: Simplify right side
    59,993.16x = 16,226,333,151.89
  5. Step 5: Solve for x
    x = 16,226,333,151.89/59,993.16
  6. Step 6: Final answer
    x = 270,469.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.