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Finding the Third Proportional to 125,284 and 191,895

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Solution

The third proportional to 125,284 and 191,895 is: 293,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284 : 191,895 = 191,895 : x
  2. Step 2: Convert to fraction form
    125,284/191,895 = 191,895/x
  3. Step 3: Cross multiply
    125,284x = 191,895 × 191,895
  4. Step 4: Simplify right side
    125,284x = 36,823,691,025
  5. Step 5: Solve for x
    x = 36,823,691,025/125,284
  6. Step 6: Final answer
    x = 293,921.74

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