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Finding the Third Proportional to 112,334 and 170,807

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Solution

The third proportional to 112,334 and 170,807 is: 259,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,334 : 170,807 = 170,807 : x
  2. Step 2: Convert to fraction form
    112,334/170,807 = 170,807/x
  3. Step 3: Cross multiply
    112,334x = 170,807 × 170,807
  4. Step 4: Simplify right side
    112,334x = 29,175,031,249
  5. Step 5: Solve for x
    x = 29,175,031,249/112,334
  6. Step 6: Final answer
    x = 259,716.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.