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Finding the Third Proportional to 162,137 and 243,725

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Solution

The third proportional to 162,137 and 243,725 is: 366,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,137 : 243,725 = 243,725 : x
  2. Step 2: Convert to fraction form
    162,137/243,725 = 243,725/x
  3. Step 3: Cross multiply
    162,137x = 243,725 × 243,725
  4. Step 4: Simplify right side
    162,137x = 59,401,875,625
  5. Step 5: Solve for x
    x = 59,401,875,625/162,137
  6. Step 6: Final answer
    x = 366,368.41

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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.