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Finding the Third Proportional to 57,054 and 133,320

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Solution

The third proportional to 57,054 and 133,320 is: 311,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054 : 133,320 = 133,320 : x
  2. Step 2: Convert to fraction form
    57,054/133,320 = 133,320/x
  3. Step 3: Cross multiply
    57,054x = 133,320 × 133,320
  4. Step 4: Simplify right side
    57,054x = 17,774,222,400
  5. Step 5: Solve for x
    x = 17,774,222,400/57,054
  6. Step 6: Final answer
    x = 311,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.