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Finding the Third Proportional to 61,912 and 94,042.50

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Solution

The third proportional to 61,912 and 94,042.50 is: 142,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,912 : 94,042.50 = 94,042.50 : x
  2. Step 2: Convert to fraction form
    61,912/94,042.50 = 94,042.50/x
  3. Step 3: Cross multiply
    61,912x = 94,042.50 × 94,042.50
  4. Step 4: Simplify right side
    61,912x = 8,843,991,806.25
  5. Step 5: Solve for x
    x = 8,843,991,806.25/61,912
  6. Step 6: Final answer
    x = 142,847.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.