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Finding the Third Proportional to 60,914.50 and 97,204

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Solution

The third proportional to 60,914.50 and 97,204 is: 155,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,914.50 : 97,204 = 97,204 : x
  2. Step 2: Convert to fraction form
    60,914.50/97,204 = 97,204/x
  3. Step 3: Cross multiply
    60,914.50x = 97,204 × 97,204
  4. Step 4: Simplify right side
    60,914.50x = 9,448,617,616
  5. Step 5: Solve for x
    x = 9,448,617,616/60,914.50
  6. Step 6: Final answer
    x = 155,112.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.