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Finding the Third Proportional to 74,548 and 113,007

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Solution

The third proportional to 74,548 and 113,007 is: 171,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548 : 113,007 = 113,007 : x
  2. Step 2: Convert to fraction form
    74,548/113,007 = 113,007/x
  3. Step 3: Cross multiply
    74,548x = 113,007 × 113,007
  4. Step 4: Simplify right side
    74,548x = 12,770,582,049
  5. Step 5: Solve for x
    x = 12,770,582,049/74,548
  6. Step 6: Final answer
    x = 171,306.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.