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Finding the Third Proportional to 59,925 and 133,152

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Solution

The third proportional to 59,925 and 133,152 is: 295,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,925 : 133,152 = 133,152 : x
  2. Step 2: Convert to fraction form
    59,925/133,152 = 133,152/x
  3. Step 3: Cross multiply
    59,925x = 133,152 × 133,152
  4. Step 4: Simplify right side
    59,925x = 17,729,455,104
  5. Step 5: Solve for x
    x = 17,729,455,104/59,925
  6. Step 6: Final answer
    x = 295,860.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.