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Finding the Third Proportional to 63,130.75 and 140,274.75

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Solution

The third proportional to 63,130.75 and 140,274.75 is: 311,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,130.75 : 140,274.75 = 140,274.75 : x
  2. Step 2: Convert to fraction form
    63,130.75/140,274.75 = 140,274.75/x
  3. Step 3: Cross multiply
    63,130.75x = 140,274.75 × 140,274.75
  4. Step 4: Simplify right side
    63,130.75x = 19,677,005,487.56
  5. Step 5: Solve for x
    x = 19,677,005,487.56/63,130.75
  6. Step 6: Final answer
    x = 311,686.55

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.