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Finding the Third Proportional to 42,706 and 65,092

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Solution

The third proportional to 42,706 and 65,092 is: 99,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706 : 65,092 = 65,092 : x
  2. Step 2: Convert to fraction form
    42,706/65,092 = 65,092/x
  3. Step 3: Cross multiply
    42,706x = 65,092 × 65,092
  4. Step 4: Simplify right side
    42,706x = 4,236,968,464
  5. Step 5: Solve for x
    x = 4,236,968,464/42,706
  6. Step 6: Final answer
    x = 99,212.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.