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Finding the Third Proportional to 86,044 and 185,696

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Solution

The third proportional to 86,044 and 185,696 is: 400,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,044 : 185,696 = 185,696 : x
  2. Step 2: Convert to fraction form
    86,044/185,696 = 185,696/x
  3. Step 3: Cross multiply
    86,044x = 185,696 × 185,696
  4. Step 4: Simplify right side
    86,044x = 34,483,004,416
  5. Step 5: Solve for x
    x = 34,483,004,416/86,044
  6. Step 6: Final answer
    x = 400,760.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.