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Finding the Third Proportional to 45,258.75 and 106,687.13

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Solution

The third proportional to 45,258.75 and 106,687.13 is: 251,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,258.75 : 106,687.13 = 106,687.13 : x
  2. Step 2: Convert to fraction form
    45,258.75/106,687.13 = 106,687.13/x
  3. Step 3: Cross multiply
    45,258.75x = 106,687.13 × 106,687.13
  4. Step 4: Simplify right side
    45,258.75x = 11,382,142,640.77
  5. Step 5: Solve for x
    x = 11,382,142,640.77/45,258.75
  6. Step 6: Final answer
    x = 251,490.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.