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Finding the Third Proportional to 113,065 and 245,782

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Solution

The third proportional to 113,065 and 245,782 is: 534,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,065 : 245,782 = 245,782 : x
  2. Step 2: Convert to fraction form
    113,065/245,782 = 245,782/x
  3. Step 3: Cross multiply
    113,065x = 245,782 × 245,782
  4. Step 4: Simplify right side
    113,065x = 60,408,791,524
  5. Step 5: Solve for x
    x = 60,408,791,524/113,065
  6. Step 6: Final answer
    x = 534,283.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.