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Finding the Third Proportional to 43,206.75 and 89,412.75

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Solution

The third proportional to 43,206.75 and 89,412.75 is: 185,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206.75 : 89,412.75 = 89,412.75 : x
  2. Step 2: Convert to fraction form
    43,206.75/89,412.75 = 89,412.75/x
  3. Step 3: Cross multiply
    43,206.75x = 89,412.75 × 89,412.75
  4. Step 4: Simplify right side
    43,206.75x = 7,994,639,862.56
  5. Step 5: Solve for x
    x = 7,994,639,862.56/43,206.75
  6. Step 6: Final answer
    x = 185,032.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.