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Finding the Third Proportional to 63,855 and 85,410

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Solution

The third proportional to 63,855 and 85,410 is: 114,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,855 : 85,410 = 85,410 : x
  2. Step 2: Convert to fraction form
    63,855/85,410 = 85,410/x
  3. Step 3: Cross multiply
    63,855x = 85,410 × 85,410
  4. Step 4: Simplify right side
    63,855x = 7,294,868,100
  5. Step 5: Solve for x
    x = 7,294,868,100/63,855
  6. Step 6: Final answer
    x = 114,241.14

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.