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Finding the Third Proportional to 102,003.75 and 158,333.63

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Solution

The third proportional to 102,003.75 and 158,333.63 is: 245,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.75 : 158,333.63 = 158,333.63 : x
  2. Step 2: Convert to fraction form
    102,003.75/158,333.63 = 158,333.63/x
  3. Step 3: Cross multiply
    102,003.75x = 158,333.63 × 158,333.63
  4. Step 4: Simplify right side
    102,003.75x = 25,069,536,805.64
  5. Step 5: Solve for x
    x = 25,069,536,805.64/102,003.75
  6. Step 6: Final answer
    x = 245,770.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.