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Finding the Third Proportional to 42,362 and 67,012

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Solution

The third proportional to 42,362 and 67,012 is: 106,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362 : 67,012 = 67,012 : x
  2. Step 2: Convert to fraction form
    42,362/67,012 = 67,012/x
  3. Step 3: Cross multiply
    42,362x = 67,012 × 67,012
  4. Step 4: Simplify right side
    42,362x = 4,490,608,144
  5. Step 5: Solve for x
    x = 4,490,608,144/42,362
  6. Step 6: Final answer
    x = 106,005.57

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Why These Related Problems?

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