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Finding the Third Proportional to 112,124.25 and 171,470.25

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Solution

The third proportional to 112,124.25 and 171,470.25 is: 262,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,124.25 : 171,470.25 = 171,470.25 : x
  2. Step 2: Convert to fraction form
    112,124.25/171,470.25 = 171,470.25/x
  3. Step 3: Cross multiply
    112,124.25x = 171,470.25 × 171,470.25
  4. Step 4: Simplify right side
    112,124.25x = 29,402,046,635.06
  5. Step 5: Solve for x
    x = 29,402,046,635.06/112,124.25
  6. Step 6: Final answer
    x = 262,227.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.