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Finding the Third Proportional to 115,680 and 157,595

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Solution

The third proportional to 115,680 and 157,595 is: 214,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,680 : 157,595 = 157,595 : x
  2. Step 2: Convert to fraction form
    115,680/157,595 = 157,595/x
  3. Step 3: Cross multiply
    115,680x = 157,595 × 157,595
  4. Step 4: Simplify right side
    115,680x = 24,836,184,025
  5. Step 5: Solve for x
    x = 24,836,184,025/115,680
  6. Step 6: Final answer
    x = 214,697.30

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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.