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Finding the Third Proportional to 60,050 and 139,001

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Solution

The third proportional to 60,050 and 139,001 is: 321,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,050 : 139,001 = 139,001 : x
  2. Step 2: Convert to fraction form
    60,050/139,001 = 139,001/x
  3. Step 3: Cross multiply
    60,050x = 139,001 × 139,001
  4. Step 4: Simplify right side
    60,050x = 19,321,278,001
  5. Step 5: Solve for x
    x = 19,321,278,001/60,050
  6. Step 6: Final answer
    x = 321,753.17

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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.