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Finding the Third Proportional to 115,531.50 and 171,603

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Solution

The third proportional to 115,531.50 and 171,603 is: 254,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,531.50 : 171,603 = 171,603 : x
  2. Step 2: Convert to fraction form
    115,531.50/171,603 = 171,603/x
  3. Step 3: Cross multiply
    115,531.50x = 171,603 × 171,603
  4. Step 4: Simplify right side
    115,531.50x = 29,447,589,609
  5. Step 5: Solve for x
    x = 29,447,589,609/115,531.50
  6. Step 6: Final answer
    x = 254,887.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.