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Finding the Third Proportional to 42,722 and 64,062

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Solution

The third proportional to 42,722 and 64,062 is: 96,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722 : 64,062 = 64,062 : x
  2. Step 2: Convert to fraction form
    42,722/64,062 = 64,062/x
  3. Step 3: Cross multiply
    42,722x = 64,062 × 64,062
  4. Step 4: Simplify right side
    42,722x = 4,103,939,844
  5. Step 5: Solve for x
    x = 4,103,939,844/42,722
  6. Step 6: Final answer
    x = 96,061.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.