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Finding the Third Proportional to 90,167.50 and 195,887

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Solution

The third proportional to 90,167.50 and 195,887 is: 425,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,167.50 : 195,887 = 195,887 : x
  2. Step 2: Convert to fraction form
    90,167.50/195,887 = 195,887/x
  3. Step 3: Cross multiply
    90,167.50x = 195,887 × 195,887
  4. Step 4: Simplify right side
    90,167.50x = 38,371,716,769
  5. Step 5: Solve for x
    x = 38,371,716,769/90,167.50
  6. Step 6: Final answer
    x = 425,560.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.