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Finding the Third Proportional to 92,742 and 139,979

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Solution

The third proportional to 92,742 and 139,979 is: 211,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,742 : 139,979 = 139,979 : x
  2. Step 2: Convert to fraction form
    92,742/139,979 = 139,979/x
  3. Step 3: Cross multiply
    92,742x = 139,979 × 139,979
  4. Step 4: Simplify right side
    92,742x = 19,594,120,441
  5. Step 5: Solve for x
    x = 19,594,120,441/92,742
  6. Step 6: Final answer
    x = 211,275.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.