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Finding the Third Proportional to 61,364 and 131,466

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Solution

The third proportional to 61,364 and 131,466 is: 281,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,364 : 131,466 = 131,466 : x
  2. Step 2: Convert to fraction form
    61,364/131,466 = 131,466/x
  3. Step 3: Cross multiply
    61,364x = 131,466 × 131,466
  4. Step 4: Simplify right side
    61,364x = 17,283,309,156
  5. Step 5: Solve for x
    x = 17,283,309,156/61,364
  6. Step 6: Final answer
    x = 281,652.26

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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.