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Finding the Third Proportional to 95,905 and 141,999

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Solution

The third proportional to 95,905 and 141,999 is: 210,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,905 : 141,999 = 141,999 : x
  2. Step 2: Convert to fraction form
    95,905/141,999 = 141,999/x
  3. Step 3: Cross multiply
    95,905x = 141,999 × 141,999
  4. Step 4: Simplify right side
    95,905x = 20,163,716,001
  5. Step 5: Solve for x
    x = 20,163,716,001/95,905
  6. Step 6: Final answer
    x = 210,246.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.