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Finding the Third Proportional to 62,720 and 151,696

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Solution

The third proportional to 62,720 and 151,696 is: 366,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,720 : 151,696 = 151,696 : x
  2. Step 2: Convert to fraction form
    62,720/151,696 = 151,696/x
  3. Step 3: Cross multiply
    62,720x = 151,696 × 151,696
  4. Step 4: Simplify right side
    62,720x = 23,011,676,416
  5. Step 5: Solve for x
    x = 23,011,676,416/62,720
  6. Step 6: Final answer
    x = 366,895.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.