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Finding the Third Proportional to 52,147.13 and 113,811.19

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Solution

The third proportional to 52,147.13 and 113,811.19 is: 248,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.13 : 113,811.19 = 113,811.19 : x
  2. Step 2: Convert to fraction form
    52,147.13/113,811.19 = 113,811.19/x
  3. Step 3: Cross multiply
    52,147.13x = 113,811.19 × 113,811.19
  4. Step 4: Simplify right side
    52,147.13x = 12,952,986,400.16
  5. Step 5: Solve for x
    x = 12,952,986,400.16/52,147.13
  6. Step 6: Final answer
    x = 248,393.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.