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Finding the Third Proportional to 75,894 and 113,226

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Solution

The third proportional to 75,894 and 113,226 is: 168,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 113,226 = 113,226 : x
  2. Step 2: Convert to fraction form
    75,894/113,226 = 113,226/x
  3. Step 3: Cross multiply
    75,894x = 113,226 × 113,226
  4. Step 4: Simplify right side
    75,894x = 12,820,127,076
  5. Step 5: Solve for x
    x = 12,820,127,076/75,894
  6. Step 6: Final answer
    x = 168,921.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.