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Finding the Third Proportional to 106,707 and 236,013

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Solution

The third proportional to 106,707 and 236,013 is: 522,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707 : 236,013 = 236,013 : x
  2. Step 2: Convert to fraction form
    106,707/236,013 = 236,013/x
  3. Step 3: Cross multiply
    106,707x = 236,013 × 236,013
  4. Step 4: Simplify right side
    106,707x = 55,702,136,169
  5. Step 5: Solve for x
    x = 55,702,136,169/106,707
  6. Step 6: Final answer
    x = 522,010.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.