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Finding the Third Proportional to 76,900.13 and 166,068

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Solution

The third proportional to 76,900.13 and 166,068 is: 358,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900.13 : 166,068 = 166,068 : x
  2. Step 2: Convert to fraction form
    76,900.13/166,068 = 166,068/x
  3. Step 3: Cross multiply
    76,900.13x = 166,068 × 166,068
  4. Step 4: Simplify right side
    76,900.13x = 27,578,580,624
  5. Step 5: Solve for x
    x = 27,578,580,624/76,900.13
  6. Step 6: Final answer
    x = 358,628.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.