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Finding the Third Proportional to 105,798 and 143,625

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Solution

The third proportional to 105,798 and 143,625 is: 194,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798 : 143,625 = 143,625 : x
  2. Step 2: Convert to fraction form
    105,798/143,625 = 143,625/x
  3. Step 3: Cross multiply
    105,798x = 143,625 × 143,625
  4. Step 4: Simplify right side
    105,798x = 20,628,140,625
  5. Step 5: Solve for x
    x = 20,628,140,625/105,798
  6. Step 6: Final answer
    x = 194,976.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.