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Finding the Third Proportional to 74,578 and 145,376

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Solution

The third proportional to 74,578 and 145,376 is: 283,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,578 : 145,376 = 145,376 : x
  2. Step 2: Convert to fraction form
    74,578/145,376 = 145,376/x
  3. Step 3: Cross multiply
    74,578x = 145,376 × 145,376
  4. Step 4: Simplify right side
    74,578x = 21,134,181,376
  5. Step 5: Solve for x
    x = 21,134,181,376/74,578
  6. Step 6: Final answer
    x = 283,383.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.