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Finding the Third Proportional to 95,881.50 and 150,417

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Solution

The third proportional to 95,881.50 and 150,417 is: 235,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,881.50 : 150,417 = 150,417 : x
  2. Step 2: Convert to fraction form
    95,881.50/150,417 = 150,417/x
  3. Step 3: Cross multiply
    95,881.50x = 150,417 × 150,417
  4. Step 4: Simplify right side
    95,881.50x = 22,625,273,889
  5. Step 5: Solve for x
    x = 22,625,273,889/95,881.50
  6. Step 6: Final answer
    x = 235,971.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.