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Finding the Third Proportional to 104,000 and 161,332

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Solution

The third proportional to 104,000 and 161,332 is: 250,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,000 : 161,332 = 161,332 : x
  2. Step 2: Convert to fraction form
    104,000/161,332 = 161,332/x
  3. Step 3: Cross multiply
    104,000x = 161,332 × 161,332
  4. Step 4: Simplify right side
    104,000x = 26,028,014,224
  5. Step 5: Solve for x
    x = 26,028,014,224/104,000
  6. Step 6: Final answer
    x = 250,269.37

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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.