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Finding the Third Proportional to 104,184 and 160,599

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Solution

The third proportional to 104,184 and 160,599 is: 247,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184 : 160,599 = 160,599 : x
  2. Step 2: Convert to fraction form
    104,184/160,599 = 160,599/x
  3. Step 3: Cross multiply
    104,184x = 160,599 × 160,599
  4. Step 4: Simplify right side
    104,184x = 25,792,038,801
  5. Step 5: Solve for x
    x = 25,792,038,801/104,184
  6. Step 6: Final answer
    x = 247,562.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.