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Finding the Third Proportional to 76,032 and 161,900

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Solution

The third proportional to 76,032 and 161,900 is: 344,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 161,900 = 161,900 : x
  2. Step 2: Convert to fraction form
    76,032/161,900 = 161,900/x
  3. Step 3: Cross multiply
    76,032x = 161,900 × 161,900
  4. Step 4: Simplify right side
    76,032x = 26,211,610,000
  5. Step 5: Solve for x
    x = 26,211,610,000/76,032
  6. Step 6: Final answer
    x = 344,744.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.