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Finding the Third Proportional to 42,525.66 and 91,551.56

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Solution

The third proportional to 42,525.66 and 91,551.56 is: 197,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,525.66 : 91,551.56 = 91,551.56 : x
  2. Step 2: Convert to fraction form
    42,525.66/91,551.56 = 91,551.56/x
  3. Step 3: Cross multiply
    42,525.66x = 91,551.56 × 91,551.56
  4. Step 4: Simplify right side
    42,525.66x = 8,381,688,596.19
  5. Step 5: Solve for x
    x = 8,381,688,596.19/42,525.66
  6. Step 6: Final answer
    x = 197,097.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.