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Finding the Third Proportional to 95,807 and 145,036

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Solution

The third proportional to 95,807 and 145,036 is: 219,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,807 : 145,036 = 145,036 : x
  2. Step 2: Convert to fraction form
    95,807/145,036 = 145,036/x
  3. Step 3: Cross multiply
    95,807x = 145,036 × 145,036
  4. Step 4: Simplify right side
    95,807x = 21,035,441,296
  5. Step 5: Solve for x
    x = 21,035,441,296/95,807
  6. Step 6: Final answer
    x = 219,560.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.