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Finding the Third Proportional to 52,120 and 113,799.50

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Solution

The third proportional to 52,120 and 113,799.50 is: 248,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120 : 113,799.50 = 113,799.50 : x
  2. Step 2: Convert to fraction form
    52,120/113,799.50 = 113,799.50/x
  3. Step 3: Cross multiply
    52,120x = 113,799.50 × 113,799.50
  4. Step 4: Simplify right side
    52,120x = 12,950,326,200.25
  5. Step 5: Solve for x
    x = 12,950,326,200.25/52,120
  6. Step 6: Final answer
    x = 248,471.34

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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.