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Finding the Third Proportional to 62,314 and 134,132

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Solution

The third proportional to 62,314 and 134,132 is: 288,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314 : 134,132 = 134,132 : x
  2. Step 2: Convert to fraction form
    62,314/134,132 = 134,132/x
  3. Step 3: Cross multiply
    62,314x = 134,132 × 134,132
  4. Step 4: Simplify right side
    62,314x = 17,991,393,424
  5. Step 5: Solve for x
    x = 17,991,393,424/62,314
  6. Step 6: Final answer
    x = 288,721.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.