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Finding the Third Proportional to 95,303 and 133,882

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Solution

The third proportional to 95,303 and 133,882 is: 188,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,303 : 133,882 = 133,882 : x
  2. Step 2: Convert to fraction form
    95,303/133,882 = 133,882/x
  3. Step 3: Cross multiply
    95,303x = 133,882 × 133,882
  4. Step 4: Simplify right side
    95,303x = 17,924,389,924
  5. Step 5: Solve for x
    x = 17,924,389,924/95,303
  6. Step 6: Final answer
    x = 188,077.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.