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Finding the Third Proportional to 66,992 and 92,283

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Solution

The third proportional to 66,992 and 92,283 is: 127,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992 : 92,283 = 92,283 : x
  2. Step 2: Convert to fraction form
    66,992/92,283 = 92,283/x
  3. Step 3: Cross multiply
    66,992x = 92,283 × 92,283
  4. Step 4: Simplify right side
    66,992x = 8,516,152,089
  5. Step 5: Solve for x
    x = 8,516,152,089/66,992
  6. Step 6: Final answer
    x = 127,121.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.