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Finding the Third Proportional to 43,029 and 93,206.25

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Solution

The third proportional to 43,029 and 93,206.25 is: 201,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,029 : 93,206.25 = 93,206.25 : x
  2. Step 2: Convert to fraction form
    43,029/93,206.25 = 93,206.25/x
  3. Step 3: Cross multiply
    43,029x = 93,206.25 × 93,206.25
  4. Step 4: Simplify right side
    43,029x = 8,687,405,039.06
  5. Step 5: Solve for x
    x = 8,687,405,039.06/43,029
  6. Step 6: Final answer
    x = 201,896.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.