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Finding the Third Proportional to 75,345 and 113,781.75

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Solution

The third proportional to 75,345 and 113,781.75 is: 171,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345 : 113,781.75 = 113,781.75 : x
  2. Step 2: Convert to fraction form
    75,345/113,781.75 = 113,781.75/x
  3. Step 3: Cross multiply
    75,345x = 113,781.75 × 113,781.75
  4. Step 4: Simplify right side
    75,345x = 12,946,286,633.06
  5. Step 5: Solve for x
    x = 12,946,286,633.06/75,345
  6. Step 6: Final answer
    x = 171,826.75

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Why These Related Problems?

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