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Finding the Third Proportional to 74,768.63 and 106,644.38

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Solution

The third proportional to 74,768.63 and 106,644.38 is: 152,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768.63 : 106,644.38 = 106,644.38 : x
  2. Step 2: Convert to fraction form
    74,768.63/106,644.38 = 106,644.38/x
  3. Step 3: Cross multiply
    74,768.63x = 106,644.38 × 106,644.38
  4. Step 4: Simplify right side
    74,768.63x = 11,373,022,719.14
  5. Step 5: Solve for x
    x = 11,373,022,719.14/74,768.63
  6. Step 6: Final answer
    x = 152,109.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.