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Finding the Third Proportional to 61,216 and 131,768

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Solution

The third proportional to 61,216 and 131,768 is: 283,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,216 : 131,768 = 131,768 : x
  2. Step 2: Convert to fraction form
    61,216/131,768 = 131,768/x
  3. Step 3: Cross multiply
    61,216x = 131,768 × 131,768
  4. Step 4: Simplify right side
    61,216x = 17,362,805,824
  5. Step 5: Solve for x
    x = 17,362,805,824/61,216
  6. Step 6: Final answer
    x = 283,631.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.