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Finding the Third Proportional to 97,756 and 146,201

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Solution

The third proportional to 97,756 and 146,201 is: 218,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756 : 146,201 = 146,201 : x
  2. Step 2: Convert to fraction form
    97,756/146,201 = 146,201/x
  3. Step 3: Cross multiply
    97,756x = 146,201 × 146,201
  4. Step 4: Simplify right side
    97,756x = 21,374,732,401
  5. Step 5: Solve for x
    x = 21,374,732,401/97,756
  6. Step 6: Final answer
    x = 218,653.92

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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.