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Finding the Third Proportional to 125,298 and 191,916

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Solution

The third proportional to 125,298 and 191,916 is: 293,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,298 : 191,916 = 191,916 : x
  2. Step 2: Convert to fraction form
    125,298/191,916 = 191,916/x
  3. Step 3: Cross multiply
    125,298x = 191,916 × 191,916
  4. Step 4: Simplify right side
    125,298x = 36,831,751,056
  5. Step 5: Solve for x
    x = 36,831,751,056/125,298
  6. Step 6: Final answer
    x = 293,953.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.