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Finding the Third Proportional to 63,656 and 140,023

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Solution

The third proportional to 63,656 and 140,023 is: 308,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,656 : 140,023 = 140,023 : x
  2. Step 2: Convert to fraction form
    63,656/140,023 = 140,023/x
  3. Step 3: Cross multiply
    63,656x = 140,023 × 140,023
  4. Step 4: Simplify right side
    63,656x = 19,606,440,529
  5. Step 5: Solve for x
    x = 19,606,440,529/63,656
  6. Step 6: Final answer
    x = 308,006.17

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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.