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Finding the Third Proportional to 103,629 and 164,788

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Solution

The third proportional to 103,629 and 164,788 is: 262,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 164,788 = 164,788 : x
  2. Step 2: Convert to fraction form
    103,629/164,788 = 164,788/x
  3. Step 3: Cross multiply
    103,629x = 164,788 × 164,788
  4. Step 4: Simplify right side
    103,629x = 27,155,084,944
  5. Step 5: Solve for x
    x = 27,155,084,944/103,629
  6. Step 6: Final answer
    x = 262,041.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.