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Finding the Third Proportional to 62,484 and 136,059

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Solution

The third proportional to 62,484 and 136,059 is: 296,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,484 : 136,059 = 136,059 : x
  2. Step 2: Convert to fraction form
    62,484/136,059 = 136,059/x
  3. Step 3: Cross multiply
    62,484x = 136,059 × 136,059
  4. Step 4: Simplify right side
    62,484x = 18,512,051,481
  5. Step 5: Solve for x
    x = 18,512,051,481/62,484
  6. Step 6: Final answer
    x = 296,268.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.