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Finding the Third Proportional to 57,444 and 85,822

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Solution

The third proportional to 57,444 and 85,822 is: 128,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444 : 85,822 = 85,822 : x
  2. Step 2: Convert to fraction form
    57,444/85,822 = 85,822/x
  3. Step 3: Cross multiply
    57,444x = 85,822 × 85,822
  4. Step 4: Simplify right side
    57,444x = 7,365,415,684
  5. Step 5: Solve for x
    x = 7,365,415,684/57,444
  6. Step 6: Final answer
    x = 128,219.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.