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Finding the Third Proportional to 104,142 and 215,669

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Solution

The third proportional to 104,142 and 215,669 is: 446,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142 : 215,669 = 215,669 : x
  2. Step 2: Convert to fraction form
    104,142/215,669 = 215,669/x
  3. Step 3: Cross multiply
    104,142x = 215,669 × 215,669
  4. Step 4: Simplify right side
    104,142x = 46,513,117,561
  5. Step 5: Solve for x
    x = 46,513,117,561/104,142
  6. Step 6: Final answer
    x = 446,631.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.