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Finding the Third Proportional to 76,010 and 161,863

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Solution

The third proportional to 76,010 and 161,863 is: 344,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,010 : 161,863 = 161,863 : x
  2. Step 2: Convert to fraction form
    76,010/161,863 = 161,863/x
  3. Step 3: Cross multiply
    76,010x = 161,863 × 161,863
  4. Step 4: Simplify right side
    76,010x = 26,199,630,769
  5. Step 5: Solve for x
    x = 26,199,630,769/76,010
  6. Step 6: Final answer
    x = 344,686.63

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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.