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Finding the Third Proportional to 84,444 and 131,778

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Solution

The third proportional to 84,444 and 131,778 is: 205,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,444 : 131,778 = 131,778 : x
  2. Step 2: Convert to fraction form
    84,444/131,778 = 131,778/x
  3. Step 3: Cross multiply
    84,444x = 131,778 × 131,778
  4. Step 4: Simplify right side
    84,444x = 17,365,441,284
  5. Step 5: Solve for x
    x = 17,365,441,284/84,444
  6. Step 6: Final answer
    x = 205,644.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.