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Finding the Third Proportional to 104,170.50 and 147,497

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Solution

The third proportional to 104,170.50 and 147,497 is: 208,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,170.50 : 147,497 = 147,497 : x
  2. Step 2: Convert to fraction form
    104,170.50/147,497 = 147,497/x
  3. Step 3: Cross multiply
    104,170.50x = 147,497 × 147,497
  4. Step 4: Simplify right side
    104,170.50x = 21,755,365,009
  5. Step 5: Solve for x
    x = 21,755,365,009/104,170.50
  6. Step 6: Final answer
    x = 208,843.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.