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Finding the Third Proportional to 112,287 and 168,886.13

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Solution

The third proportional to 112,287 and 168,886.13 is: 254,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,287 : 168,886.13 = 168,886.13 : x
  2. Step 2: Convert to fraction form
    112,287/168,886.13 = 168,886.13/x
  3. Step 3: Cross multiply
    112,287x = 168,886.13 × 168,886.13
  4. Step 4: Simplify right side
    112,287x = 28,522,523,217.52
  5. Step 5: Solve for x
    x = 28,522,523,217.52/112,287
  6. Step 6: Final answer
    x = 254,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.