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Finding the Third Proportional to 92,721 and 139,019

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Solution

The third proportional to 92,721 and 139,019 is: 208,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,721 : 139,019 = 139,019 : x
  2. Step 2: Convert to fraction form
    92,721/139,019 = 139,019/x
  3. Step 3: Cross multiply
    92,721x = 139,019 × 139,019
  4. Step 4: Simplify right side
    92,721x = 19,326,282,361
  5. Step 5: Solve for x
    x = 19,326,282,361/92,721
  6. Step 6: Final answer
    x = 208,434.79

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