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Finding the Third Proportional to 95,308 and 140,109

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Solution

The third proportional to 95,308 and 140,109 is: 205,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,308 : 140,109 = 140,109 : x
  2. Step 2: Convert to fraction form
    95,308/140,109 = 140,109/x
  3. Step 3: Cross multiply
    95,308x = 140,109 × 140,109
  4. Step 4: Simplify right side
    95,308x = 19,630,531,881
  5. Step 5: Solve for x
    x = 19,630,531,881/95,308
  6. Step 6: Final answer
    x = 205,969.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.