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Finding the Third Proportional to 64,483 and 142,042

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Solution

The third proportional to 64,483 and 142,042 is: 312,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,483 : 142,042 = 142,042 : x
  2. Step 2: Convert to fraction form
    64,483/142,042 = 142,042/x
  3. Step 3: Cross multiply
    64,483x = 142,042 × 142,042
  4. Step 4: Simplify right side
    64,483x = 20,175,929,764
  5. Step 5: Solve for x
    x = 20,175,929,764/64,483
  6. Step 6: Final answer
    x = 312,887.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.