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Finding the Third Proportional to 60,796 and 90,951

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Solution

The third proportional to 60,796 and 90,951 is: 136,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,796 : 90,951 = 90,951 : x
  2. Step 2: Convert to fraction form
    60,796/90,951 = 90,951/x
  3. Step 3: Cross multiply
    60,796x = 90,951 × 90,951
  4. Step 4: Simplify right side
    60,796x = 8,272,084,401
  5. Step 5: Solve for x
    x = 8,272,084,401/60,796
  6. Step 6: Final answer
    x = 136,062.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.