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Finding the Third Proportional to 61,092 and 91,062

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Solution

The third proportional to 61,092 and 91,062 is: 135,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,092 : 91,062 = 91,062 : x
  2. Step 2: Convert to fraction form
    61,092/91,062 = 91,062/x
  3. Step 3: Cross multiply
    61,092x = 91,062 × 91,062
  4. Step 4: Simplify right side
    61,092x = 8,292,287,844
  5. Step 5: Solve for x
    x = 8,292,287,844/61,092
  6. Step 6: Final answer
    x = 135,734.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.