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Finding the Third Proportional to 42,059.25 and 91,955.25

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Solution

The third proportional to 42,059.25 and 91,955.25 is: 201,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,059.25 : 91,955.25 = 91,955.25 : x
  2. Step 2: Convert to fraction form
    42,059.25/91,955.25 = 91,955.25/x
  3. Step 3: Cross multiply
    42,059.25x = 91,955.25 × 91,955.25
  4. Step 4: Simplify right side
    42,059.25x = 8,455,768,002.56
  5. Step 5: Solve for x
    x = 8,455,768,002.56/42,059.25
  6. Step 6: Final answer
    x = 201,044.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.