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Finding the Third Proportional to 42,502 and 93,392

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Solution

The third proportional to 42,502 and 93,392 is: 205,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502 : 93,392 = 93,392 : x
  2. Step 2: Convert to fraction form
    42,502/93,392 = 93,392/x
  3. Step 3: Cross multiply
    42,502x = 93,392 × 93,392
  4. Step 4: Simplify right side
    42,502x = 8,722,065,664
  5. Step 5: Solve for x
    x = 8,722,065,664/42,502
  6. Step 6: Final answer
    x = 205,215.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.