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Finding the Third Proportional to 70,076.81 and 164,516.06

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Solution

The third proportional to 70,076.81 and 164,516.06 is: 386,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076.81 : 164,516.06 = 164,516.06 : x
  2. Step 2: Convert to fraction form
    70,076.81/164,516.06 = 164,516.06/x
  3. Step 3: Cross multiply
    70,076.81x = 164,516.06 × 164,516.06
  4. Step 4: Simplify right side
    70,076.81x = 27,065,534,820.50
  5. Step 5: Solve for x
    x = 27,065,534,820.50/70,076.81
  6. Step 6: Final answer
    x = 386,226.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.