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Finding the Third Proportional to 112,120.13 and 173,784.38

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Solution

The third proportional to 112,120.13 and 173,784.38 is: 269,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,120.13 : 173,784.38 = 173,784.38 : x
  2. Step 2: Convert to fraction form
    112,120.13/173,784.38 = 173,784.38/x
  3. Step 3: Cross multiply
    112,120.13x = 173,784.38 × 173,784.38
  4. Step 4: Simplify right side
    112,120.13x = 30,201,008,994.14
  5. Step 5: Solve for x
    x = 30,201,008,994.14/112,120.13
  6. Step 6: Final answer
    x = 269,362.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.