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Finding the Third Proportional to 83,683.13 and 174,134.81

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Solution

The third proportional to 83,683.13 and 174,134.81 is: 362,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.13 : 174,134.81 = 174,134.81 : x
  2. Step 2: Convert to fraction form
    83,683.13/174,134.81 = 174,134.81/x
  3. Step 3: Cross multiply
    83,683.13x = 174,134.81 × 174,134.81
  4. Step 4: Simplify right side
    83,683.13x = 30,322,932,924.41
  5. Step 5: Solve for x
    x = 30,322,932,924.41/83,683.13
  6. Step 6: Final answer
    x = 362,354.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.