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Finding the Third Proportional to 107,541 and 162,768

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Solution

The third proportional to 107,541 and 162,768 is: 246,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,541 : 162,768 = 162,768 : x
  2. Step 2: Convert to fraction form
    107,541/162,768 = 162,768/x
  3. Step 3: Cross multiply
    107,541x = 162,768 × 162,768
  4. Step 4: Simplify right side
    107,541x = 26,493,421,824
  5. Step 5: Solve for x
    x = 26,493,421,824/107,541
  6. Step 6: Final answer
    x = 246,356.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.