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Finding the Third Proportional to 110,618 and 170,124

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Solution

The third proportional to 110,618 and 170,124 is: 261,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,618 : 170,124 = 170,124 : x
  2. Step 2: Convert to fraction form
    110,618/170,124 = 170,124/x
  3. Step 3: Cross multiply
    110,618x = 170,124 × 170,124
  4. Step 4: Simplify right side
    110,618x = 28,942,175,376
  5. Step 5: Solve for x
    x = 28,942,175,376/110,618
  6. Step 6: Final answer
    x = 261,640.74

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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.