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Finding the Third Proportional to 110,943 and 170,523

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Solution

The third proportional to 110,943 and 170,523 is: 262,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,943 : 170,523 = 170,523 : x
  2. Step 2: Convert to fraction form
    110,943/170,523 = 170,523/x
  3. Step 3: Cross multiply
    110,943x = 170,523 × 170,523
  4. Step 4: Simplify right side
    110,943x = 29,078,093,529
  5. Step 5: Solve for x
    x = 29,078,093,529/110,943
  6. Step 6: Final answer
    x = 262,099.40

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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.