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Finding the Third Proportional to 55,694 and 115,078

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Solution

The third proportional to 55,694 and 115,078 is: 237,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,694 : 115,078 = 115,078 : x
  2. Step 2: Convert to fraction form
    55,694/115,078 = 115,078/x
  3. Step 3: Cross multiply
    55,694x = 115,078 × 115,078
  4. Step 4: Simplify right side
    55,694x = 13,242,946,084
  5. Step 5: Solve for x
    x = 13,242,946,084/55,694
  6. Step 6: Final answer
    x = 237,780.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.