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Finding the Third Proportional to 97,136 and 205,504

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Solution

The third proportional to 97,136 and 205,504 is: 434,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136 : 205,504 = 205,504 : x
  2. Step 2: Convert to fraction form
    97,136/205,504 = 205,504/x
  3. Step 3: Cross multiply
    97,136x = 205,504 × 205,504
  4. Step 4: Simplify right side
    97,136x = 42,231,894,016
  5. Step 5: Solve for x
    x = 42,231,894,016/97,136
  6. Step 6: Final answer
    x = 434,770.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.