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Finding the Third Proportional to 62,355 and 94,186

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Solution

The third proportional to 62,355 and 94,186 is: 142,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,355 : 94,186 = 94,186 : x
  2. Step 2: Convert to fraction form
    62,355/94,186 = 94,186/x
  3. Step 3: Cross multiply
    62,355x = 94,186 × 94,186
  4. Step 4: Simplify right side
    62,355x = 8,871,002,596
  5. Step 5: Solve for x
    x = 8,871,002,596/62,355
  6. Step 6: Final answer
    x = 142,266.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.