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Finding the Third Proportional to 63,566 and 139,827

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Solution

The third proportional to 63,566 and 139,827 is: 307,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,566 : 139,827 = 139,827 : x
  2. Step 2: Convert to fraction form
    63,566/139,827 = 139,827/x
  3. Step 3: Cross multiply
    63,566x = 139,827 × 139,827
  4. Step 4: Simplify right side
    63,566x = 19,551,589,929
  5. Step 5: Solve for x
    x = 19,551,589,929/63,566
  6. Step 6: Final answer
    x = 307,579.37

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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.