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Finding the Third Proportional to 52,049.25 and 113,521.50

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Solution

The third proportional to 52,049.25 and 113,521.50 is: 247,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.25 : 113,521.50 = 113,521.50 : x
  2. Step 2: Convert to fraction form
    52,049.25/113,521.50 = 113,521.50/x
  3. Step 3: Cross multiply
    52,049.25x = 113,521.50 × 113,521.50
  4. Step 4: Simplify right side
    52,049.25x = 12,887,130,962.25
  5. Step 5: Solve for x
    x = 12,887,130,962.25/52,049.25
  6. Step 6: Final answer
    x = 247,594.94

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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.