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Finding the Third Proportional to 104,210 and 161,464

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Solution

The third proportional to 104,210 and 161,464 is: 250,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,210 : 161,464 = 161,464 : x
  2. Step 2: Convert to fraction form
    104,210/161,464 = 161,464/x
  3. Step 3: Cross multiply
    104,210x = 161,464 × 161,464
  4. Step 4: Simplify right side
    104,210x = 26,070,623,296
  5. Step 5: Solve for x
    x = 26,070,623,296/104,210
  6. Step 6: Final answer
    x = 250,173.91

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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.