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Finding the Third Proportional to 115,368 and 168,672

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Solution

The third proportional to 115,368 and 168,672 is: 246,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,368 : 168,672 = 168,672 : x
  2. Step 2: Convert to fraction form
    115,368/168,672 = 168,672/x
  3. Step 3: Cross multiply
    115,368x = 168,672 × 168,672
  4. Step 4: Simplify right side
    115,368x = 28,450,243,584
  5. Step 5: Solve for x
    x = 28,450,243,584/115,368
  6. Step 6: Final answer
    x = 246,604.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.