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Finding the Third Proportional to 74,747 and 112,337

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Solution

The third proportional to 74,747 and 112,337 is: 168,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,747 : 112,337 = 112,337 : x
  2. Step 2: Convert to fraction form
    74,747/112,337 = 112,337/x
  3. Step 3: Cross multiply
    74,747x = 112,337 × 112,337
  4. Step 4: Simplify right side
    74,747x = 12,619,601,569
  5. Step 5: Solve for x
    x = 12,619,601,569/74,747
  6. Step 6: Final answer
    x = 168,830.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.