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Finding the Third Proportional to 60,107 and 139,145

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Solution

The third proportional to 60,107 and 139,145 is: 322,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,107 : 139,145 = 139,145 : x
  2. Step 2: Convert to fraction form
    60,107/139,145 = 139,145/x
  3. Step 3: Cross multiply
    60,107x = 139,145 × 139,145
  4. Step 4: Simplify right side
    60,107x = 19,361,331,025
  5. Step 5: Solve for x
    x = 19,361,331,025/60,107
  6. Step 6: Final answer
    x = 322,114.41

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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.