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Finding the Third Proportional to 80,102 and 173,053

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Solution

The third proportional to 80,102 and 173,053 is: 373,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,102 : 173,053 = 173,053 : x
  2. Step 2: Convert to fraction form
    80,102/173,053 = 173,053/x
  3. Step 3: Cross multiply
    80,102x = 173,053 × 173,053
  4. Step 4: Simplify right side
    80,102x = 29,947,340,809
  5. Step 5: Solve for x
    x = 29,947,340,809/80,102
  6. Step 6: Final answer
    x = 373,865.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.