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Finding the Third Proportional to 109,165 and 173,590

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Solution

The third proportional to 109,165 and 173,590 is: 276,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165 : 173,590 = 173,590 : x
  2. Step 2: Convert to fraction form
    109,165/173,590 = 173,590/x
  3. Step 3: Cross multiply
    109,165x = 173,590 × 173,590
  4. Step 4: Simplify right side
    109,165x = 30,133,488,100
  5. Step 5: Solve for x
    x = 30,133,488,100/109,165
  6. Step 6: Final answer
    x = 276,036.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.