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Finding the Third Proportional to 52,656 and 115,986

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Solution

The third proportional to 52,656 and 115,986 is: 255,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656 : 115,986 = 115,986 : x
  2. Step 2: Convert to fraction form
    52,656/115,986 = 115,986/x
  3. Step 3: Cross multiply
    52,656x = 115,986 × 115,986
  4. Step 4: Simplify right side
    52,656x = 13,452,752,196
  5. Step 5: Solve for x
    x = 13,452,752,196/52,656
  6. Step 6: Final answer
    x = 255,483.75

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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.