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Finding the Third Proportional to 75,931 and 113,269

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Solution

The third proportional to 75,931 and 113,269 is: 168,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,931 : 113,269 = 113,269 : x
  2. Step 2: Convert to fraction form
    75,931/113,269 = 113,269/x
  3. Step 3: Cross multiply
    75,931x = 113,269 × 113,269
  4. Step 4: Simplify right side
    75,931x = 12,829,866,361
  5. Step 5: Solve for x
    x = 12,829,866,361/75,931
  6. Step 6: Final answer
    x = 168,967.44

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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.