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Finding the Third Proportional to 73,146 and 159,696

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Solution

The third proportional to 73,146 and 159,696 is: 348,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146 : 159,696 = 159,696 : x
  2. Step 2: Convert to fraction form
    73,146/159,696 = 159,696/x
  3. Step 3: Cross multiply
    73,146x = 159,696 × 159,696
  4. Step 4: Simplify right side
    73,146x = 25,502,812,416
  5. Step 5: Solve for x
    x = 25,502,812,416/73,146
  6. Step 6: Final answer
    x = 348,656.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.