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Finding the Third Proportional to 75,100 and 161,840

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Solution

The third proportional to 75,100 and 161,840 is: 348,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100 : 161,840 = 161,840 : x
  2. Step 2: Convert to fraction form
    75,100/161,840 = 161,840/x
  3. Step 3: Cross multiply
    75,100x = 161,840 × 161,840
  4. Step 4: Simplify right side
    75,100x = 26,192,185,600
  5. Step 5: Solve for x
    x = 26,192,185,600/75,100
  6. Step 6: Final answer
    x = 348,764.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.