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Finding the Third Proportional to 107,932 and 168,961

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Solution

The third proportional to 107,932 and 168,961 is: 264,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,932 : 168,961 = 168,961 : x
  2. Step 2: Convert to fraction form
    107,932/168,961 = 168,961/x
  3. Step 3: Cross multiply
    107,932x = 168,961 × 168,961
  4. Step 4: Simplify right side
    107,932x = 28,547,819,521
  5. Step 5: Solve for x
    x = 28,547,819,521/107,932
  6. Step 6: Final answer
    x = 264,498.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.