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Finding the Third Proportional to 110,914 and 170,486

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Solution

The third proportional to 110,914 and 170,486 is: 262,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,914 : 170,486 = 170,486 : x
  2. Step 2: Convert to fraction form
    110,914/170,486 = 170,486/x
  3. Step 3: Cross multiply
    110,914x = 170,486 × 170,486
  4. Step 4: Simplify right side
    110,914x = 29,065,476,196
  5. Step 5: Solve for x
    x = 29,065,476,196/110,914
  6. Step 6: Final answer
    x = 262,054.17

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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.