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Finding the Third Proportional to 73,782 and 113,358

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Solution

The third proportional to 73,782 and 113,358 is: 174,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782 : 113,358 = 113,358 : x
  2. Step 2: Convert to fraction form
    73,782/113,358 = 113,358/x
  3. Step 3: Cross multiply
    73,782x = 113,358 × 113,358
  4. Step 4: Simplify right side
    73,782x = 12,850,036,164
  5. Step 5: Solve for x
    x = 12,850,036,164/73,782
  6. Step 6: Final answer
    x = 174,162.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.