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Finding the Third Proportional to 84,102 and 175,992

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Solution

The third proportional to 84,102 and 175,992 is: 368,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102 : 175,992 = 175,992 : x
  2. Step 2: Convert to fraction form
    84,102/175,992 = 175,992/x
  3. Step 3: Cross multiply
    84,102x = 175,992 × 175,992
  4. Step 4: Simplify right side
    84,102x = 30,973,184,064
  5. Step 5: Solve for x
    x = 30,973,184,064/84,102
  6. Step 6: Final answer
    x = 368,281.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.