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Finding the Third Proportional to 106,218 and 148,601.25

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Solution

The third proportional to 106,218 and 148,601.25 is: 207,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 148,601.25 = 148,601.25 : x
  2. Step 2: Convert to fraction form
    106,218/148,601.25 = 148,601.25/x
  3. Step 3: Cross multiply
    106,218x = 148,601.25 × 148,601.25
  4. Step 4: Simplify right side
    106,218x = 22,082,331,501.56
  5. Step 5: Solve for x
    x = 22,082,331,501.56/106,218
  6. Step 6: Final answer
    x = 207,896.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.