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Finding the Third Proportional to 92,138.77 and 138,858.05

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Solution

The third proportional to 92,138.77 and 138,858.05 is: 209,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138.77 : 138,858.05 = 138,858.05 : x
  2. Step 2: Convert to fraction form
    92,138.77/138,858.05 = 138,858.05/x
  3. Step 3: Cross multiply
    92,138.77x = 138,858.05 × 138,858.05
  4. Step 4: Simplify right side
    92,138.77x = 19,281,557,181.94
  5. Step 5: Solve for x
    x = 19,281,557,181.94/92,138.77
  6. Step 6: Final answer
    x = 209,266.50

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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.