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Finding the Third Proportional to 63,224 and 136,250

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Solution

The third proportional to 63,224 and 136,250 is: 293,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,224 : 136,250 = 136,250 : x
  2. Step 2: Convert to fraction form
    63,224/136,250 = 136,250/x
  3. Step 3: Cross multiply
    63,224x = 136,250 × 136,250
  4. Step 4: Simplify right side
    63,224x = 18,564,062,500
  5. Step 5: Solve for x
    x = 18,564,062,500/63,224
  6. Step 6: Final answer
    x = 293,623.66

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Why These Related Problems?

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