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Finding the Third Proportional to 61,865 and 132,477

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Solution

The third proportional to 61,865 and 132,477 is: 283,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,865 : 132,477 = 132,477 : x
  2. Step 2: Convert to fraction form
    61,865/132,477 = 132,477/x
  3. Step 3: Cross multiply
    61,865x = 132,477 × 132,477
  4. Step 4: Simplify right side
    61,865x = 17,550,155,529
  5. Step 5: Solve for x
    x = 17,550,155,529/61,865
  6. Step 6: Final answer
    x = 283,684.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.