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Finding the Third Proportional to 73,084 and 159,696

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Solution

The third proportional to 73,084 and 159,696 is: 348,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084 : 159,696 = 159,696 : x
  2. Step 2: Convert to fraction form
    73,084/159,696 = 159,696/x
  3. Step 3: Cross multiply
    73,084x = 159,696 × 159,696
  4. Step 4: Simplify right side
    73,084x = 25,502,812,416
  5. Step 5: Solve for x
    x = 25,502,812,416/73,084
  6. Step 6: Final answer
    x = 348,952.06

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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.