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Finding the Third Proportional to 111,208 and 162,924

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Solution

The third proportional to 111,208 and 162,924 is: 238,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,208 : 162,924 = 162,924 : x
  2. Step 2: Convert to fraction form
    111,208/162,924 = 162,924/x
  3. Step 3: Cross multiply
    111,208x = 162,924 × 162,924
  4. Step 4: Simplify right side
    111,208x = 26,544,229,776
  5. Step 5: Solve for x
    x = 26,544,229,776/111,208
  6. Step 6: Final answer
    x = 238,689.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.