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Finding the Third Proportional to 111,922 and 168,961

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Solution

The third proportional to 111,922 and 168,961 is: 255,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922 : 168,961 = 168,961 : x
  2. Step 2: Convert to fraction form
    111,922/168,961 = 168,961/x
  3. Step 3: Cross multiply
    111,922x = 168,961 × 168,961
  4. Step 4: Simplify right side
    111,922x = 28,547,819,521
  5. Step 5: Solve for x
    x = 28,547,819,521/111,922
  6. Step 6: Final answer
    x = 255,068.88

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