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Finding the Third Proportional to 101,577.75 and 157,503

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Solution

The third proportional to 101,577.75 and 157,503 is: 244,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,577.75 : 157,503 = 157,503 : x
  2. Step 2: Convert to fraction form
    101,577.75/157,503 = 157,503/x
  3. Step 3: Cross multiply
    101,577.75x = 157,503 × 157,503
  4. Step 4: Simplify right side
    101,577.75x = 24,807,195,009
  5. Step 5: Solve for x
    x = 24,807,195,009/101,577.75
  6. Step 6: Final answer
    x = 244,218.79

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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.