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Finding the Third Proportional to 74,829 and 162,750

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Solution

The third proportional to 74,829 and 162,750 is: 353,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,829 : 162,750 = 162,750 : x
  2. Step 2: Convert to fraction form
    74,829/162,750 = 162,750/x
  3. Step 3: Cross multiply
    74,829x = 162,750 × 162,750
  4. Step 4: Simplify right side
    74,829x = 26,487,562,500
  5. Step 5: Solve for x
    x = 26,487,562,500/74,829
  6. Step 6: Final answer
    x = 353,974.56

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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.