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Finding the Third Proportional to 106,356.38 and 164,662.88

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Solution

The third proportional to 106,356.38 and 164,662.88 is: 254,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.38 : 164,662.88 = 164,662.88 : x
  2. Step 2: Convert to fraction form
    106,356.38/164,662.88 = 164,662.88/x
  3. Step 3: Cross multiply
    106,356.38x = 164,662.88 × 164,662.88
  4. Step 4: Simplify right side
    106,356.38x = 27,113,862,403.27
  5. Step 5: Solve for x
    x = 27,113,862,403.27/106,356.38
  6. Step 6: Final answer
    x = 254,934.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.