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Finding the Third Proportional to 63,500 and 136,558

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Solution

The third proportional to 63,500 and 136,558 is: 293,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,500 : 136,558 = 136,558 : x
  2. Step 2: Convert to fraction form
    63,500/136,558 = 136,558/x
  3. Step 3: Cross multiply
    63,500x = 136,558 × 136,558
  4. Step 4: Simplify right side
    63,500x = 18,648,087,364
  5. Step 5: Solve for x
    x = 18,648,087,364/63,500
  6. Step 6: Final answer
    x = 293,670.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.