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Finding the Third Proportional to 61,022 and 131,408

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Solution

The third proportional to 61,022 and 131,408 is: 282,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022 : 131,408 = 131,408 : x
  2. Step 2: Convert to fraction form
    61,022/131,408 = 131,408/x
  3. Step 3: Cross multiply
    61,022x = 131,408 × 131,408
  4. Step 4: Simplify right side
    61,022x = 17,268,062,464
  5. Step 5: Solve for x
    x = 17,268,062,464/61,022
  6. Step 6: Final answer
    x = 282,980.93

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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.