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Finding the Third Proportional to 112,572.75 and 171,180

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Solution

The third proportional to 112,572.75 and 171,180 is: 260,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,572.75 : 171,180 = 171,180 : x
  2. Step 2: Convert to fraction form
    112,572.75/171,180 = 171,180/x
  3. Step 3: Cross multiply
    112,572.75x = 171,180 × 171,180
  4. Step 4: Simplify right side
    112,572.75x = 29,302,592,400
  5. Step 5: Solve for x
    x = 29,302,592,400/112,572.75
  6. Step 6: Final answer
    x = 260,299.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.