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Finding the Third Proportional to 112,878 and 170,275

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Solution

The third proportional to 112,878 and 170,275 is: 256,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,878 : 170,275 = 170,275 : x
  2. Step 2: Convert to fraction form
    112,878/170,275 = 170,275/x
  3. Step 3: Cross multiply
    112,878x = 170,275 × 170,275
  4. Step 4: Simplify right side
    112,878x = 28,993,575,625
  5. Step 5: Solve for x
    x = 28,993,575,625/112,878
  6. Step 6: Final answer
    x = 256,857.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.