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Finding the Third Proportional to 95,572.50 and 151,834

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Solution

The third proportional to 95,572.50 and 151,834 is: 241,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,572.50 : 151,834 = 151,834 : x
  2. Step 2: Convert to fraction form
    95,572.50/151,834 = 151,834/x
  3. Step 3: Cross multiply
    95,572.50x = 151,834 × 151,834
  4. Step 4: Simplify right side
    95,572.50x = 23,053,563,556
  5. Step 5: Solve for x
    x = 23,053,563,556/95,572.50
  6. Step 6: Final answer
    x = 241,215.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.