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Finding the Third Proportional to 59,135.06 and 133,074.56

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Solution

The third proportional to 59,135.06 and 133,074.56 is: 299,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,135.06 : 133,074.56 = 133,074.56 : x
  2. Step 2: Convert to fraction form
    59,135.06/133,074.56 = 133,074.56/x
  3. Step 3: Cross multiply
    59,135.06x = 133,074.56 × 133,074.56
  4. Step 4: Simplify right side
    59,135.06x = 17,708,839,184.57
  5. Step 5: Solve for x
    x = 17,708,839,184.57/59,135.06
  6. Step 6: Final answer
    x = 299,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.