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Finding the Third Proportional to 42,412 and 67,364

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Solution

The third proportional to 42,412 and 67,364 is: 106,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412 : 67,364 = 67,364 : x
  2. Step 2: Convert to fraction form
    42,412/67,364 = 67,364/x
  3. Step 3: Cross multiply
    42,412x = 67,364 × 67,364
  4. Step 4: Simplify right side
    42,412x = 4,537,908,496
  5. Step 5: Solve for x
    x = 4,537,908,496/42,412
  6. Step 6: Final answer
    x = 106,995.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.