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Finding the Third Proportional to 64,741 and 87,471

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Solution

The third proportional to 64,741 and 87,471 is: 118,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,741 : 87,471 = 87,471 : x
  2. Step 2: Convert to fraction form
    64,741/87,471 = 87,471/x
  3. Step 3: Cross multiply
    64,741x = 87,471 × 87,471
  4. Step 4: Simplify right side
    64,741x = 7,651,175,841
  5. Step 5: Solve for x
    x = 7,651,175,841/64,741
  6. Step 6: Final answer
    x = 118,181.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.