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Finding the Third Proportional to 97,801 and 144,925

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Solution

The third proportional to 97,801 and 144,925 is: 214,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801 : 144,925 = 144,925 : x
  2. Step 2: Convert to fraction form
    97,801/144,925 = 144,925/x
  3. Step 3: Cross multiply
    97,801x = 144,925 × 144,925
  4. Step 4: Simplify right side
    97,801x = 21,003,255,625
  5. Step 5: Solve for x
    x = 21,003,255,625/97,801
  6. Step 6: Final answer
    x = 214,755.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.