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Finding the Third Proportional to 75,008 and 161,680

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Solution

The third proportional to 75,008 and 161,680 is: 348,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 161,680 = 161,680 : x
  2. Step 2: Convert to fraction form
    75,008/161,680 = 161,680/x
  3. Step 3: Cross multiply
    75,008x = 161,680 × 161,680
  4. Step 4: Simplify right side
    75,008x = 26,140,422,400
  5. Step 5: Solve for x
    x = 26,140,422,400/75,008
  6. Step 6: Final answer
    x = 348,501.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.