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Finding the Third Proportional to 33,318 and 72,070

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Solution

The third proportional to 33,318 and 72,070 is: 155,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,318 : 72,070 = 72,070 : x
  2. Step 2: Convert to fraction form
    33,318/72,070 = 72,070/x
  3. Step 3: Cross multiply
    33,318x = 72,070 × 72,070
  4. Step 4: Simplify right side
    33,318x = 5,194,084,900
  5. Step 5: Solve for x
    x = 5,194,084,900/33,318
  6. Step 6: Final answer
    x = 155,894.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.