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Finding the Third Proportional to 61,675 and 132,095

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Solution

The third proportional to 61,675 and 132,095 is: 282,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675 : 132,095 = 132,095 : x
  2. Step 2: Convert to fraction form
    61,675/132,095 = 132,095/x
  3. Step 3: Cross multiply
    61,675x = 132,095 × 132,095
  4. Step 4: Simplify right side
    61,675x = 17,449,089,025
  5. Step 5: Solve for x
    x = 17,449,089,025/61,675
  6. Step 6: Final answer
    x = 282,919.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.