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Finding the Third Proportional to 62,121 and 96,369

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Solution

The third proportional to 62,121 and 96,369 is: 149,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,121 : 96,369 = 96,369 : x
  2. Step 2: Convert to fraction form
    62,121/96,369 = 96,369/x
  3. Step 3: Cross multiply
    62,121x = 96,369 × 96,369
  4. Step 4: Simplify right side
    62,121x = 9,286,984,161
  5. Step 5: Solve for x
    x = 9,286,984,161/62,121
  6. Step 6: Final answer
    x = 149,498.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.