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Finding the Third Proportional to 103,666 and 158,775

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Solution

The third proportional to 103,666 and 158,775 is: 243,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,666 : 158,775 = 158,775 : x
  2. Step 2: Convert to fraction form
    103,666/158,775 = 158,775/x
  3. Step 3: Cross multiply
    103,666x = 158,775 × 158,775
  4. Step 4: Simplify right side
    103,666x = 25,209,500,625
  5. Step 5: Solve for x
    x = 25,209,500,625/103,666
  6. Step 6: Final answer
    x = 243,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.