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Finding the Third Proportional to 62,408 and 99,239

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Solution

The third proportional to 62,408 and 99,239 is: 157,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 99,239 = 99,239 : x
  2. Step 2: Convert to fraction form
    62,408/99,239 = 99,239/x
  3. Step 3: Cross multiply
    62,408x = 99,239 × 99,239
  4. Step 4: Simplify right side
    62,408x = 9,848,379,121
  5. Step 5: Solve for x
    x = 9,848,379,121/62,408
  6. Step 6: Final answer
    x = 157,806.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.