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Finding the Third Proportional to 61,134 and 133,932

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Solution

The third proportional to 61,134 and 133,932 is: 293,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,134 : 133,932 = 133,932 : x
  2. Step 2: Convert to fraction form
    61,134/133,932 = 133,932/x
  3. Step 3: Cross multiply
    61,134x = 133,932 × 133,932
  4. Step 4: Simplify right side
    61,134x = 17,937,780,624
  5. Step 5: Solve for x
    x = 17,937,780,624/61,134
  6. Step 6: Final answer
    x = 293,417.42

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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.