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Finding the Third Proportional to 107,354 and 157,749

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Solution

The third proportional to 107,354 and 157,749 is: 231,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,354 : 157,749 = 157,749 : x
  2. Step 2: Convert to fraction form
    107,354/157,749 = 157,749/x
  3. Step 3: Cross multiply
    107,354x = 157,749 × 157,749
  4. Step 4: Simplify right side
    107,354x = 24,884,747,001
  5. Step 5: Solve for x
    x = 24,884,747,001/107,354
  6. Step 6: Final answer
    x = 231,800.84

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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.