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Finding the Third Proportional to 63,954 and 140,598

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Solution

The third proportional to 63,954 and 140,598 is: 309,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,954 : 140,598 = 140,598 : x
  2. Step 2: Convert to fraction form
    63,954/140,598 = 140,598/x
  3. Step 3: Cross multiply
    63,954x = 140,598 × 140,598
  4. Step 4: Simplify right side
    63,954x = 19,767,797,604
  5. Step 5: Solve for x
    x = 19,767,797,604/63,954
  6. Step 6: Final answer
    x = 309,094.00

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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.