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Finding the Third Proportional to 63,125.25 and 136,089.75

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Solution

The third proportional to 63,125.25 and 136,089.75 is: 293,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,125.25 : 136,089.75 = 136,089.75 : x
  2. Step 2: Convert to fraction form
    63,125.25/136,089.75 = 136,089.75/x
  3. Step 3: Cross multiply
    63,125.25x = 136,089.75 × 136,089.75
  4. Step 4: Simplify right side
    63,125.25x = 18,520,420,055.06
  5. Step 5: Solve for x
    x = 18,520,420,055.06/63,125.25
  6. Step 6: Final answer
    x = 293,391.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.