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Finding the Third Proportional to 60,500 and 131,497

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Solution

The third proportional to 60,500 and 131,497 is: 285,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,500 : 131,497 = 131,497 : x
  2. Step 2: Convert to fraction form
    60,500/131,497 = 131,497/x
  3. Step 3: Cross multiply
    60,500x = 131,497 × 131,497
  4. Step 4: Simplify right side
    60,500x = 17,291,461,009
  5. Step 5: Solve for x
    x = 17,291,461,009/60,500
  6. Step 6: Final answer
    x = 285,809.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.