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Finding the Third Proportional to 108,082 and 163,612

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Solution

The third proportional to 108,082 and 163,612 is: 247,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082 : 163,612 = 163,612 : x
  2. Step 2: Convert to fraction form
    108,082/163,612 = 163,612/x
  3. Step 3: Cross multiply
    108,082x = 163,612 × 163,612
  4. Step 4: Simplify right side
    108,082x = 26,768,886,544
  5. Step 5: Solve for x
    x = 26,768,886,544/108,082
  6. Step 6: Final answer
    x = 247,672.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.