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Finding the Third Proportional to 52,548 and 115,315.50

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Solution

The third proportional to 52,548 and 115,315.50 is: 253,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,548 : 115,315.50 = 115,315.50 : x
  2. Step 2: Convert to fraction form
    52,548/115,315.50 = 115,315.50/x
  3. Step 3: Cross multiply
    52,548x = 115,315.50 × 115,315.50
  4. Step 4: Simplify right side
    52,548x = 13,297,664,540.25
  5. Step 5: Solve for x
    x = 13,297,664,540.25/52,548
  6. Step 6: Final answer
    x = 253,057.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.