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Finding the Third Proportional to 62,518 and 136,903

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Solution

The third proportional to 62,518 and 136,903 is: 299,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,518 : 136,903 = 136,903 : x
  2. Step 2: Convert to fraction form
    62,518/136,903 = 136,903/x
  3. Step 3: Cross multiply
    62,518x = 136,903 × 136,903
  4. Step 4: Simplify right side
    62,518x = 18,742,431,409
  5. Step 5: Solve for x
    x = 18,742,431,409/62,518
  6. Step 6: Final answer
    x = 299,792.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.