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Finding the Third Proportional to 84,076 and 180,908

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Solution

The third proportional to 84,076 and 180,908 is: 389,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076 : 180,908 = 180,908 : x
  2. Step 2: Convert to fraction form
    84,076/180,908 = 180,908/x
  3. Step 3: Cross multiply
    84,076x = 180,908 × 180,908
  4. Step 4: Simplify right side
    84,076x = 32,727,704,464
  5. Step 5: Solve for x
    x = 32,727,704,464/84,076
  6. Step 6: Final answer
    x = 389,263.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.