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Finding the Third Proportional to 107,577 and 157,909.50

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Solution

The third proportional to 107,577 and 157,909.50 is: 231,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,577 : 157,909.50 = 157,909.50 : x
  2. Step 2: Convert to fraction form
    107,577/157,909.50 = 157,909.50/x
  3. Step 3: Cross multiply
    107,577x = 157,909.50 × 157,909.50
  4. Step 4: Simplify right side
    107,577x = 24,935,410,190.25
  5. Step 5: Solve for x
    x = 24,935,410,190.25/107,577
  6. Step 6: Final answer
    x = 231,791.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.