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Finding the Third Proportional to 105,062 and 154,137

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Solution

The third proportional to 105,062 and 154,137 is: 226,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062 : 154,137 = 154,137 : x
  2. Step 2: Convert to fraction form
    105,062/154,137 = 154,137/x
  3. Step 3: Cross multiply
    105,062x = 154,137 × 154,137
  4. Step 4: Simplify right side
    105,062x = 23,758,214,769
  5. Step 5: Solve for x
    x = 23,758,214,769/105,062
  6. Step 6: Final answer
    x = 226,135.18

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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.