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Finding the Third Proportional to 61,245 and 131,237

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Solution

The third proportional to 61,245 and 131,237 is: 281,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,245 : 131,237 = 131,237 : x
  2. Step 2: Convert to fraction form
    61,245/131,237 = 131,237/x
  3. Step 3: Cross multiply
    61,245x = 131,237 × 131,237
  4. Step 4: Simplify right side
    61,245x = 17,223,150,169
  5. Step 5: Solve for x
    x = 17,223,150,169/61,245
  6. Step 6: Final answer
    x = 281,217.24

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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.