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Finding the Third Proportional to 104,106 and 164,686

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Solution

The third proportional to 104,106 and 164,686 is: 260,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,106 : 164,686 = 164,686 : x
  2. Step 2: Convert to fraction form
    104,106/164,686 = 164,686/x
  3. Step 3: Cross multiply
    104,106x = 164,686 × 164,686
  4. Step 4: Simplify right side
    104,106x = 27,121,478,596
  5. Step 5: Solve for x
    x = 27,121,478,596/104,106
  6. Step 6: Final answer
    x = 260,517.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.