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Finding the Third Proportional to 61,026 and 131,416

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Solution

The third proportional to 61,026 and 131,416 is: 282,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,026 : 131,416 = 131,416 : x
  2. Step 2: Convert to fraction form
    61,026/131,416 = 131,416/x
  3. Step 3: Cross multiply
    61,026x = 131,416 × 131,416
  4. Step 4: Simplify right side
    61,026x = 17,270,165,056
  5. Step 5: Solve for x
    x = 17,270,165,056/61,026
  6. Step 6: Final answer
    x = 282,996.84

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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.