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Finding the Third Proportional to 42,307 and 66,942

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Solution

The third proportional to 42,307 and 66,942 is: 105,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,307 : 66,942 = 66,942 : x
  2. Step 2: Convert to fraction form
    42,307/66,942 = 66,942/x
  3. Step 3: Cross multiply
    42,307x = 66,942 × 66,942
  4. Step 4: Simplify right side
    42,307x = 4,481,231,364
  5. Step 5: Solve for x
    x = 4,481,231,364/42,307
  6. Step 6: Final answer
    x = 105,921.75

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