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Finding the Third Proportional to 107,261 and 141,049

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Solution

The third proportional to 107,261 and 141,049 is: 185,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,261 : 141,049 = 141,049 : x
  2. Step 2: Convert to fraction form
    107,261/141,049 = 141,049/x
  3. Step 3: Cross multiply
    107,261x = 141,049 × 141,049
  4. Step 4: Simplify right side
    107,261x = 19,894,820,401
  5. Step 5: Solve for x
    x = 19,894,820,401/107,261
  6. Step 6: Final answer
    x = 185,480.47

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.