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Finding the Third Proportional to 62,199 and 96,062

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Solution

The third proportional to 62,199 and 96,062 is: 148,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,199 : 96,062 = 96,062 : x
  2. Step 2: Convert to fraction form
    62,199/96,062 = 96,062/x
  3. Step 3: Cross multiply
    62,199x = 96,062 × 96,062
  4. Step 4: Simplify right side
    62,199x = 9,227,907,844
  5. Step 5: Solve for x
    x = 9,227,907,844/62,199
  6. Step 6: Final answer
    x = 148,361.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.