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Finding the Third Proportional to 58,872.25 and 122,726.25

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Solution

The third proportional to 58,872.25 and 122,726.25 is: 255,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,872.25 : 122,726.25 = 122,726.25 : x
  2. Step 2: Convert to fraction form
    58,872.25/122,726.25 = 122,726.25/x
  3. Step 3: Cross multiply
    58,872.25x = 122,726.25 × 122,726.25
  4. Step 4: Simplify right side
    58,872.25x = 15,061,732,439.06
  5. Step 5: Solve for x
    x = 15,061,732,439.06/58,872.25
  6. Step 6: Final answer
    x = 255,837.55

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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.