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Finding the Third Proportional to 62,106 and 134,715

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Solution

The third proportional to 62,106 and 134,715 is: 292,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,106 : 134,715 = 134,715 : x
  2. Step 2: Convert to fraction form
    62,106/134,715 = 134,715/x
  3. Step 3: Cross multiply
    62,106x = 134,715 × 134,715
  4. Step 4: Simplify right side
    62,106x = 18,148,131,225
  5. Step 5: Solve for x
    x = 18,148,131,225/62,106
  6. Step 6: Final answer
    x = 292,212.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.