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Finding the Third Proportional to 84,070 and 180,896

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Solution

The third proportional to 84,070 and 180,896 is: 389,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,070 : 180,896 = 180,896 : x
  2. Step 2: Convert to fraction form
    84,070/180,896 = 180,896/x
  3. Step 3: Cross multiply
    84,070x = 180,896 × 180,896
  4. Step 4: Simplify right side
    84,070x = 32,723,362,816
  5. Step 5: Solve for x
    x = 32,723,362,816/84,070
  6. Step 6: Final answer
    x = 389,239.48

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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.