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Finding the Third Proportional to 124,141.50 and 181,917

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Solution

The third proportional to 124,141.50 and 181,917 is: 266,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,141.50 : 181,917 = 181,917 : x
  2. Step 2: Convert to fraction form
    124,141.50/181,917 = 181,917/x
  3. Step 3: Cross multiply
    124,141.50x = 181,917 × 181,917
  4. Step 4: Simplify right side
    124,141.50x = 33,093,794,889
  5. Step 5: Solve for x
    x = 33,093,794,889/124,141.50
  6. Step 6: Final answer
    x = 266,581.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.