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Finding the Third Proportional to 42,010 and 90,792

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Solution

The third proportional to 42,010 and 90,792 is: 196,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,010 : 90,792 = 90,792 : x
  2. Step 2: Convert to fraction form
    42,010/90,792 = 90,792/x
  3. Step 3: Cross multiply
    42,010x = 90,792 × 90,792
  4. Step 4: Simplify right side
    42,010x = 8,243,187,264
  5. Step 5: Solve for x
    x = 8,243,187,264/42,010
  6. Step 6: Final answer
    x = 196,219.64

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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.