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Finding the Third Proportional to 70,733.88 and 153,522.84

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Solution

The third proportional to 70,733.88 and 153,522.84 is: 333,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,733.88 : 153,522.84 = 153,522.84 : x
  2. Step 2: Convert to fraction form
    70,733.88/153,522.84 = 153,522.84/x
  3. Step 3: Cross multiply
    70,733.88x = 153,522.84 × 153,522.84
  4. Step 4: Simplify right side
    70,733.88x = 23,569,263,553.09
  5. Step 5: Solve for x
    x = 23,569,263,553.09/70,733.88
  6. Step 6: Final answer
    x = 333,210.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.