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Finding the Third Proportional to 61,378 and 134,466

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Solution

The third proportional to 61,378 and 134,466 is: 294,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378 : 134,466 = 134,466 : x
  2. Step 2: Convert to fraction form
    61,378/134,466 = 134,466/x
  3. Step 3: Cross multiply
    61,378x = 134,466 × 134,466
  4. Step 4: Simplify right side
    61,378x = 18,081,105,156
  5. Step 5: Solve for x
    x = 18,081,105,156/61,378
  6. Step 6: Final answer
    x = 294,586.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.