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Finding the Third Proportional to 64,090 and 95,611

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Solution

The third proportional to 64,090 and 95,611 is: 142,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,090 : 95,611 = 95,611 : x
  2. Step 2: Convert to fraction form
    64,090/95,611 = 95,611/x
  3. Step 3: Cross multiply
    64,090x = 95,611 × 95,611
  4. Step 4: Simplify right side
    64,090x = 9,141,463,321
  5. Step 5: Solve for x
    x = 9,141,463,321/64,090
  6. Step 6: Final answer
    x = 142,634.78

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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.