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Finding the Third Proportional to 112,024.13 and 177,470.44

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Solution

The third proportional to 112,024.13 and 177,470.44 is: 281,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,024.13 : 177,470.44 = 177,470.44 : x
  2. Step 2: Convert to fraction form
    112,024.13/177,470.44 = 177,470.44/x
  3. Step 3: Cross multiply
    112,024.13x = 177,470.44 × 177,470.44
  4. Step 4: Simplify right side
    112,024.13x = 31,495,756,186.44
  5. Step 5: Solve for x
    x = 31,495,756,186.44/112,024.13
  6. Step 6: Final answer
    x = 281,151.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.