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Finding the Third Proportional to 63,766 and 140,113

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Solution

The third proportional to 63,766 and 140,113 is: 307,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,766 : 140,113 = 140,113 : x
  2. Step 2: Convert to fraction form
    63,766/140,113 = 140,113/x
  3. Step 3: Cross multiply
    63,766x = 140,113 × 140,113
  4. Step 4: Simplify right side
    63,766x = 19,631,652,769
  5. Step 5: Solve for x
    x = 19,631,652,769/63,766
  6. Step 6: Final answer
    x = 307,870.23

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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.