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Finding the Third Proportional to 115,030.13 and 177,675.19

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Solution

The third proportional to 115,030.13 and 177,675.19 is: 274,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,030.13 : 177,675.19 = 177,675.19 : x
  2. Step 2: Convert to fraction form
    115,030.13/177,675.19 = 177,675.19/x
  3. Step 3: Cross multiply
    115,030.13x = 177,675.19 × 177,675.19
  4. Step 4: Simplify right side
    115,030.13x = 31,568,472,253.16
  5. Step 5: Solve for x
    x = 31,568,472,253.16/115,030.13
  6. Step 6: Final answer
    x = 274,436.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.