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Finding the Third Proportional to 61,834 and 134,708

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Solution

The third proportional to 61,834 and 134,708 is: 293,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834 : 134,708 = 134,708 : x
  2. Step 2: Convert to fraction form
    61,834/134,708 = 134,708/x
  3. Step 3: Cross multiply
    61,834x = 134,708 × 134,708
  4. Step 4: Simplify right side
    61,834x = 18,146,245,264
  5. Step 5: Solve for x
    x = 18,146,245,264/61,834
  6. Step 6: Final answer
    x = 293,467.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.