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Finding the Third Proportional to 117,024 and 172,960

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Solution

The third proportional to 117,024 and 172,960 is: 255,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 172,960 = 172,960 : x
  2. Step 2: Convert to fraction form
    117,024/172,960 = 172,960/x
  3. Step 3: Cross multiply
    117,024x = 172,960 × 172,960
  4. Step 4: Simplify right side
    117,024x = 29,915,161,600
  5. Step 5: Solve for x
    x = 29,915,161,600/117,024
  6. Step 6: Final answer
    x = 255,632.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.