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Finding the Third Proportional to 57,107 and 90,940.50

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Solution

The third proportional to 57,107 and 90,940.50 is: 144,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107 : 90,940.50 = 90,940.50 : x
  2. Step 2: Convert to fraction form
    57,107/90,940.50 = 90,940.50/x
  3. Step 3: Cross multiply
    57,107x = 90,940.50 × 90,940.50
  4. Step 4: Simplify right side
    57,107x = 8,270,174,540.25
  5. Step 5: Solve for x
    x = 8,270,174,540.25/57,107
  6. Step 6: Final answer
    x = 144,818.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.