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Finding the Third Proportional to 112,291.50 and 168,893

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Solution

The third proportional to 112,291.50 and 168,893 is: 254,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,291.50 : 168,893 = 168,893 : x
  2. Step 2: Convert to fraction form
    112,291.50/168,893 = 168,893/x
  3. Step 3: Cross multiply
    112,291.50x = 168,893 × 168,893
  4. Step 4: Simplify right side
    112,291.50x = 28,524,845,449
  5. Step 5: Solve for x
    x = 28,524,845,449/112,291.50
  6. Step 6: Final answer
    x = 254,024.97

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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.