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Finding the Third Proportional to 55,702.13 and 115,993.88

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Solution

The third proportional to 55,702.13 and 115,993.88 is: 241,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.13 : 115,993.88 = 115,993.88 : x
  2. Step 2: Convert to fraction form
    55,702.13/115,993.88 = 115,993.88/x
  3. Step 3: Cross multiply
    55,702.13x = 115,993.88 × 115,993.88
  4. Step 4: Simplify right side
    55,702.13x = 13,454,579,037.52
  5. Step 5: Solve for x
    x = 13,454,579,037.52/55,702.13
  6. Step 6: Final answer
    x = 241,545.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.