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Finding the Third Proportional to 61,648 and 133,114

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Solution

The third proportional to 61,648 and 133,114 is: 287,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 133,114 = 133,114 : x
  2. Step 2: Convert to fraction form
    61,648/133,114 = 133,114/x
  3. Step 3: Cross multiply
    61,648x = 133,114 × 133,114
  4. Step 4: Simplify right side
    61,648x = 17,719,336,996
  5. Step 5: Solve for x
    x = 17,719,336,996/61,648
  6. Step 6: Final answer
    x = 287,427.61

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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.