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Finding the Third Proportional to 63,310 and 135,093.50

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Solution

The third proportional to 63,310 and 135,093.50 is: 288,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,310 : 135,093.50 = 135,093.50 : x
  2. Step 2: Convert to fraction form
    63,310/135,093.50 = 135,093.50/x
  3. Step 3: Cross multiply
    63,310x = 135,093.50 × 135,093.50
  4. Step 4: Simplify right side
    63,310x = 18,250,253,742.25
  5. Step 5: Solve for x
    x = 18,250,253,742.25/63,310
  6. Step 6: Final answer
    x = 288,268.11

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.