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Finding the Third Proportional to 61,902 and 92,989

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Solution

The third proportional to 61,902 and 92,989 is: 139,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902 : 92,989 = 92,989 : x
  2. Step 2: Convert to fraction form
    61,902/92,989 = 92,989/x
  3. Step 3: Cross multiply
    61,902x = 92,989 × 92,989
  4. Step 4: Simplify right side
    61,902x = 8,646,954,121
  5. Step 5: Solve for x
    x = 8,646,954,121/61,902
  6. Step 6: Final answer
    x = 139,687.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.