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Finding the Third Proportional to 104,206 and 161,259

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Solution

The third proportional to 104,206 and 161,259 is: 249,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,206 : 161,259 = 161,259 : x
  2. Step 2: Convert to fraction form
    104,206/161,259 = 161,259/x
  3. Step 3: Cross multiply
    104,206x = 161,259 × 161,259
  4. Step 4: Simplify right side
    104,206x = 26,004,465,081
  5. Step 5: Solve for x
    x = 26,004,465,081/104,206
  6. Step 6: Final answer
    x = 249,548.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.