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Finding the Third Proportional to 42,396 and 67,056

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Solution

The third proportional to 42,396 and 67,056 is: 106,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,396 : 67,056 = 67,056 : x
  2. Step 2: Convert to fraction form
    42,396/67,056 = 67,056/x
  3. Step 3: Cross multiply
    42,396x = 67,056 × 67,056
  4. Step 4: Simplify right side
    42,396x = 4,496,507,136
  5. Step 5: Solve for x
    x = 4,496,507,136/42,396
  6. Step 6: Final answer
    x = 106,059.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.