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Finding the Third Proportional to 105,201 and 162,972

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Solution

The third proportional to 105,201 and 162,972 is: 252,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201 : 162,972 = 162,972 : x
  2. Step 2: Convert to fraction form
    105,201/162,972 = 162,972/x
  3. Step 3: Cross multiply
    105,201x = 162,972 × 162,972
  4. Step 4: Simplify right side
    105,201x = 26,559,872,784
  5. Step 5: Solve for x
    x = 26,559,872,784/105,201
  6. Step 6: Final answer
    x = 252,467.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.