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Finding the Third Proportional to 118,048.50 and 178,061.13

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Solution

The third proportional to 118,048.50 and 178,061.13 is: 268,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,048.50 : 178,061.13 = 178,061.13 : x
  2. Step 2: Convert to fraction form
    118,048.50/178,061.13 = 178,061.13/x
  3. Step 3: Cross multiply
    118,048.50x = 178,061.13 × 178,061.13
  4. Step 4: Simplify right side
    118,048.50x = 31,705,764,236.27
  5. Step 5: Solve for x
    x = 31,705,764,236.27/118,048.50
  6. Step 6: Final answer
    x = 268,582.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.