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Finding the Third Proportional to 115,678 and 157,592

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Solution

The third proportional to 115,678 and 157,592 is: 214,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,678 : 157,592 = 157,592 : x
  2. Step 2: Convert to fraction form
    115,678/157,592 = 157,592/x
  3. Step 3: Cross multiply
    115,678x = 157,592 × 157,592
  4. Step 4: Simplify right side
    115,678x = 24,835,238,464
  5. Step 5: Solve for x
    x = 24,835,238,464/115,678
  6. Step 6: Final answer
    x = 214,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.