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Finding the Third Proportional to 60,871 and 131,462

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Solution

The third proportional to 60,871 and 131,462 is: 283,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,871 : 131,462 = 131,462 : x
  2. Step 2: Convert to fraction form
    60,871/131,462 = 131,462/x
  3. Step 3: Cross multiply
    60,871x = 131,462 × 131,462
  4. Step 4: Simplify right side
    60,871x = 17,282,257,444
  5. Step 5: Solve for x
    x = 17,282,257,444/60,871
  6. Step 6: Final answer
    x = 283,916.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.