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Finding the Third Proportional to 43,086 and 64,370

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Solution

The third proportional to 43,086 and 64,370 is: 96,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086 : 64,370 = 64,370 : x
  2. Step 2: Convert to fraction form
    43,086/64,370 = 64,370/x
  3. Step 3: Cross multiply
    43,086x = 64,370 × 64,370
  4. Step 4: Simplify right side
    43,086x = 4,143,496,900
  5. Step 5: Solve for x
    x = 4,143,496,900/43,086
  6. Step 6: Final answer
    x = 96,168.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.