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Finding the Third Proportional to 64,220 and 85,238

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Solution

The third proportional to 64,220 and 85,238 is: 113,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220 : 85,238 = 85,238 : x
  2. Step 2: Convert to fraction form
    64,220/85,238 = 85,238/x
  3. Step 3: Cross multiply
    64,220x = 85,238 × 85,238
  4. Step 4: Simplify right side
    64,220x = 7,265,516,644
  5. Step 5: Solve for x
    x = 7,265,516,644/64,220
  6. Step 6: Final answer
    x = 113,134.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.