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Finding the Third Proportional to 61,571.50 and 132,967

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Solution

The third proportional to 61,571.50 and 132,967 is: 287,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571.50 : 132,967 = 132,967 : x
  2. Step 2: Convert to fraction form
    61,571.50/132,967 = 132,967/x
  3. Step 3: Cross multiply
    61,571.50x = 132,967 × 132,967
  4. Step 4: Simplify right side
    61,571.50x = 17,680,223,089
  5. Step 5: Solve for x
    x = 17,680,223,089/61,571.50
  6. Step 6: Final answer
    x = 287,149.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.