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Finding the Third Proportional to 42,522 and 93,108

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Solution

The third proportional to 42,522 and 93,108 is: 203,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,522 : 93,108 = 93,108 : x
  2. Step 2: Convert to fraction form
    42,522/93,108 = 93,108/x
  3. Step 3: Cross multiply
    42,522x = 93,108 × 93,108
  4. Step 4: Simplify right side
    42,522x = 8,669,099,664
  5. Step 5: Solve for x
    x = 8,669,099,664/42,522
  6. Step 6: Final answer
    x = 203,873.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.