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Finding the Third Proportional to 63,101 and 139,004

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Solution

The third proportional to 63,101 and 139,004 is: 306,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,101 : 139,004 = 139,004 : x
  2. Step 2: Convert to fraction form
    63,101/139,004 = 139,004/x
  3. Step 3: Cross multiply
    63,101x = 139,004 × 139,004
  4. Step 4: Simplify right side
    63,101x = 19,322,112,016
  5. Step 5: Solve for x
    x = 19,322,112,016/63,101
  6. Step 6: Final answer
    x = 306,209.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.