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Finding the Third Proportional to 33,152 and 72,130

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Solution

The third proportional to 33,152 and 72,130 is: 156,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152 : 72,130 = 72,130 : x
  2. Step 2: Convert to fraction form
    33,152/72,130 = 72,130/x
  3. Step 3: Cross multiply
    33,152x = 72,130 × 72,130
  4. Step 4: Simplify right side
    33,152x = 5,202,736,900
  5. Step 5: Solve for x
    x = 5,202,736,900/33,152
  6. Step 6: Final answer
    x = 156,935.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.