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Finding the Third Proportional to 33,308 and 73,160

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Solution

The third proportional to 33,308 and 73,160 is: 160,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308 : 73,160 = 73,160 : x
  2. Step 2: Convert to fraction form
    33,308/73,160 = 73,160/x
  3. Step 3: Cross multiply
    33,308x = 73,160 × 73,160
  4. Step 4: Simplify right side
    33,308x = 5,352,385,600
  5. Step 5: Solve for x
    x = 5,352,385,600/33,308
  6. Step 6: Final answer
    x = 160,693.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.