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Finding the Third Proportional to 57,729 and 90,238.50

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Solution

The third proportional to 57,729 and 90,238.50 is: 141,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729 : 90,238.50 = 90,238.50 : x
  2. Step 2: Convert to fraction form
    57,729/90,238.50 = 90,238.50/x
  3. Step 3: Cross multiply
    57,729x = 90,238.50 × 90,238.50
  4. Step 4: Simplify right side
    57,729x = 8,142,986,882.25
  5. Step 5: Solve for x
    x = 8,142,986,882.25/57,729
  6. Step 6: Final answer
    x = 141,055.39

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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.