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Finding the Third Proportional to 104,172 and 147,498

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Solution

The third proportional to 104,172 and 147,498 is: 208,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,172 : 147,498 = 147,498 : x
  2. Step 2: Convert to fraction form
    104,172/147,498 = 147,498/x
  3. Step 3: Cross multiply
    104,172x = 147,498 × 147,498
  4. Step 4: Simplify right side
    104,172x = 21,755,660,004
  5. Step 5: Solve for x
    x = 21,755,660,004/104,172
  6. Step 6: Final answer
    x = 208,843.64

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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.