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Finding the Third Proportional to 63,986 and 83,662.50

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Solution

The third proportional to 63,986 and 83,662.50 is: 109,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,986 : 83,662.50 = 83,662.50 : x
  2. Step 2: Convert to fraction form
    63,986/83,662.50 = 83,662.50/x
  3. Step 3: Cross multiply
    63,986x = 83,662.50 × 83,662.50
  4. Step 4: Simplify right side
    63,986x = 6,999,413,906.25
  5. Step 5: Solve for x
    x = 6,999,413,906.25/63,986
  6. Step 6: Final answer
    x = 109,389.77

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.