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Finding the Third Proportional to 95,153 and 133,036

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Solution

The third proportional to 95,153 and 133,036 is: 186,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,153 : 133,036 = 133,036 : x
  2. Step 2: Convert to fraction form
    95,153/133,036 = 133,036/x
  3. Step 3: Cross multiply
    95,153x = 133,036 × 133,036
  4. Step 4: Simplify right side
    95,153x = 17,698,577,296
  5. Step 5: Solve for x
    x = 17,698,577,296/95,153
  6. Step 6: Final answer
    x = 186,001.25

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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.