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Finding the Third Proportional to 100,068.75 and 154,522.69

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Solution

The third proportional to 100,068.75 and 154,522.69 is: 238,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,068.75 : 154,522.69 = 154,522.69 : x
  2. Step 2: Convert to fraction form
    100,068.75/154,522.69 = 154,522.69/x
  3. Step 3: Cross multiply
    100,068.75x = 154,522.69 × 154,522.69
  4. Step 4: Simplify right side
    100,068.75x = 23,877,260,952.22
  5. Step 5: Solve for x
    x = 23,877,260,952.22/100,068.75
  6. Step 6: Final answer
    x = 238,608.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.