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Finding the Third Proportional to 52,656.50 and 115,987

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Solution

The third proportional to 52,656.50 and 115,987 is: 255,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.50 : 115,987 = 115,987 : x
  2. Step 2: Convert to fraction form
    52,656.50/115,987 = 115,987/x
  3. Step 3: Cross multiply
    52,656.50x = 115,987 × 115,987
  4. Step 4: Simplify right side
    52,656.50x = 13,452,984,169
  5. Step 5: Solve for x
    x = 13,452,984,169/52,656.50
  6. Step 6: Final answer
    x = 255,485.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.