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Finding the Third Proportional to 89,564 and 195,502

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Solution

The third proportional to 89,564 and 195,502 is: 426,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,564 : 195,502 = 195,502 : x
  2. Step 2: Convert to fraction form
    89,564/195,502 = 195,502/x
  3. Step 3: Cross multiply
    89,564x = 195,502 × 195,502
  4. Step 4: Simplify right side
    89,564x = 38,221,032,004
  5. Step 5: Solve for x
    x = 38,221,032,004/89,564
  6. Step 6: Final answer
    x = 426,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.