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Finding the Third Proportional to 106,865.63 and 166,768.13

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Solution

The third proportional to 106,865.63 and 166,768.13 is: 260,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,865.63 : 166,768.13 = 166,768.13 : x
  2. Step 2: Convert to fraction form
    106,865.63/166,768.13 = 166,768.13/x
  3. Step 3: Cross multiply
    106,865.63x = 166,768.13 × 166,768.13
  4. Step 4: Simplify right side
    106,865.63x = 27,811,607,516.02
  5. Step 5: Solve for x
    x = 27,811,607,516.02/106,865.63
  6. Step 6: Final answer
    x = 260,248.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.