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Finding the Third Proportional to 60,061 and 139,026

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Solution

The third proportional to 60,061 and 139,026 is: 321,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,061 : 139,026 = 139,026 : x
  2. Step 2: Convert to fraction form
    60,061/139,026 = 139,026/x
  3. Step 3: Cross multiply
    60,061x = 139,026 × 139,026
  4. Step 4: Simplify right side
    60,061x = 19,328,228,676
  5. Step 5: Solve for x
    x = 19,328,228,676/60,061
  6. Step 6: Final answer
    x = 321,809.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.