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Finding the Third Proportional to 57,714 and 90,215.50

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Solution

The third proportional to 57,714 and 90,215.50 is: 141,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714 : 90,215.50 = 90,215.50 : x
  2. Step 2: Convert to fraction form
    57,714/90,215.50 = 90,215.50/x
  3. Step 3: Cross multiply
    57,714x = 90,215.50 × 90,215.50
  4. Step 4: Simplify right side
    57,714x = 8,138,836,440.25
  5. Step 5: Solve for x
    x = 8,138,836,440.25/57,714
  6. Step 6: Final answer
    x = 141,020.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.