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Finding the Third Proportional to 95,592 and 140,007

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Solution

The third proportional to 95,592 and 140,007 is: 205,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,592 : 140,007 = 140,007 : x
  2. Step 2: Convert to fraction form
    95,592/140,007 = 140,007/x
  3. Step 3: Cross multiply
    95,592x = 140,007 × 140,007
  4. Step 4: Simplify right side
    95,592x = 19,601,960,049
  5. Step 5: Solve for x
    x = 19,601,960,049/95,592
  6. Step 6: Final answer
    x = 205,058.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.