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Finding the Third Proportional to 115,682 and 157,598

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Solution

The third proportional to 115,682 and 157,598 is: 214,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,682 : 157,598 = 157,598 : x
  2. Step 2: Convert to fraction form
    115,682/157,598 = 157,598/x
  3. Step 3: Cross multiply
    115,682x = 157,598 × 157,598
  4. Step 4: Simplify right side
    115,682x = 24,837,129,604
  5. Step 5: Solve for x
    x = 24,837,129,604/115,682
  6. Step 6: Final answer
    x = 214,701.77

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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.