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Finding the Third Proportional to 74,017 and 109,749

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Solution

The third proportional to 74,017 and 109,749 is: 162,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,017 : 109,749 = 109,749 : x
  2. Step 2: Convert to fraction form
    74,017/109,749 = 109,749/x
  3. Step 3: Cross multiply
    74,017x = 109,749 × 109,749
  4. Step 4: Simplify right side
    74,017x = 12,044,843,001
  5. Step 5: Solve for x
    x = 12,044,843,001/74,017
  6. Step 6: Final answer
    x = 162,730.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.