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Finding the Third Proportional to 114,079.81 and 177,342.19

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Solution

The third proportional to 114,079.81 and 177,342.19 is: 275,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,079.81 : 177,342.19 = 177,342.19 : x
  2. Step 2: Convert to fraction form
    114,079.81/177,342.19 = 177,342.19/x
  3. Step 3: Cross multiply
    114,079.81x = 177,342.19 × 177,342.19
  4. Step 4: Simplify right side
    114,079.81x = 31,450,251,467.29
  5. Step 5: Solve for x
    x = 31,450,251,467.29/114,079.81
  6. Step 6: Final answer
    x = 275,686.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.