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Finding the Third Proportional to 43,683.75 and 90,154.13

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Solution

The third proportional to 43,683.75 and 90,154.13 is: 186,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.75 : 90,154.13 = 90,154.13 : x
  2. Step 2: Convert to fraction form
    43,683.75/90,154.13 = 90,154.13/x
  3. Step 3: Cross multiply
    43,683.75x = 90,154.13 × 90,154.13
  4. Step 4: Simplify right side
    43,683.75x = 8,127,766,254.52
  5. Step 5: Solve for x
    x = 8,127,766,254.52/43,683.75
  6. Step 6: Final answer
    x = 186,059.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.