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Finding the Third Proportional to 70,578 and 100,323

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Solution

The third proportional to 70,578 and 100,323 is: 142,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 100,323 = 100,323 : x
  2. Step 2: Convert to fraction form
    70,578/100,323 = 100,323/x
  3. Step 3: Cross multiply
    70,578x = 100,323 × 100,323
  4. Step 4: Simplify right side
    70,578x = 10,064,704,329
  5. Step 5: Solve for x
    x = 10,064,704,329/70,578
  6. Step 6: Final answer
    x = 142,603.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.