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Finding the Third Proportional to 71,936 and 153,088

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Solution

The third proportional to 71,936 and 153,088 is: 325,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,936 : 153,088 = 153,088 : x
  2. Step 2: Convert to fraction form
    71,936/153,088 = 153,088/x
  3. Step 3: Cross multiply
    71,936x = 153,088 × 153,088
  4. Step 4: Simplify right side
    71,936x = 23,435,935,744
  5. Step 5: Solve for x
    x = 23,435,935,744/71,936
  6. Step 6: Final answer
    x = 325,788.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.