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Finding the Third Proportional to 57,076.50 and 90,900

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Solution

The third proportional to 57,076.50 and 90,900 is: 144,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.50 : 90,900 = 90,900 : x
  2. Step 2: Convert to fraction form
    57,076.50/90,900 = 90,900/x
  3. Step 3: Cross multiply
    57,076.50x = 90,900 × 90,900
  4. Step 4: Simplify right side
    57,076.50x = 8,262,810,000
  5. Step 5: Solve for x
    x = 8,262,810,000/57,076.50
  6. Step 6: Final answer
    x = 144,767.29

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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.