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Finding the Third Proportional to 73,922 and 153,093

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Solution

The third proportional to 73,922 and 153,093 is: 317,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922 : 153,093 = 153,093 : x
  2. Step 2: Convert to fraction form
    73,922/153,093 = 153,093/x
  3. Step 3: Cross multiply
    73,922x = 153,093 × 153,093
  4. Step 4: Simplify right side
    73,922x = 23,437,466,649
  5. Step 5: Solve for x
    x = 23,437,466,649/73,922
  6. Step 6: Final answer
    x = 317,056.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.