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Finding the Third Proportional to 42,056 and 90,640

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Solution

The third proportional to 42,056 and 90,640 is: 195,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056 : 90,640 = 90,640 : x
  2. Step 2: Convert to fraction form
    42,056/90,640 = 90,640/x
  3. Step 3: Cross multiply
    42,056x = 90,640 × 90,640
  4. Step 4: Simplify right side
    42,056x = 8,215,609,600
  5. Step 5: Solve for x
    x = 8,215,609,600/42,056
  6. Step 6: Final answer
    x = 195,349.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.