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Finding the Third Proportional to 42,828.75 and 94,199.63

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Solution

The third proportional to 42,828.75 and 94,199.63 is: 207,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828.75 : 94,199.63 = 94,199.63 : x
  2. Step 2: Convert to fraction form
    42,828.75/94,199.63 = 94,199.63/x
  3. Step 3: Cross multiply
    42,828.75x = 94,199.63 × 94,199.63
  4. Step 4: Simplify right side
    42,828.75x = 8,873,569,350.14
  5. Step 5: Solve for x
    x = 8,873,569,350.14/42,828.75
  6. Step 6: Final answer
    x = 207,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.