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Finding the Third Proportional to 61,376 and 134,467

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Solution

The third proportional to 61,376 and 134,467 is: 294,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376 : 134,467 = 134,467 : x
  2. Step 2: Convert to fraction form
    61,376/134,467 = 134,467/x
  3. Step 3: Cross multiply
    61,376x = 134,467 × 134,467
  4. Step 4: Simplify right side
    61,376x = 18,081,374,089
  5. Step 5: Solve for x
    x = 18,081,374,089/61,376
  6. Step 6: Final answer
    x = 294,600.07

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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.