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Finding the Third Proportional to 63,224.50 and 136,251

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Solution

The third proportional to 63,224.50 and 136,251 is: 293,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,224.50 : 136,251 = 136,251 : x
  2. Step 2: Convert to fraction form
    63,224.50/136,251 = 136,251/x
  3. Step 3: Cross multiply
    63,224.50x = 136,251 × 136,251
  4. Step 4: Simplify right side
    63,224.50x = 18,564,335,001
  5. Step 5: Solve for x
    x = 18,564,335,001/63,224.50
  6. Step 6: Final answer
    x = 293,625.65

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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.