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Finding the Third Proportional to 74,984 and 113,247

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Solution

The third proportional to 74,984 and 113,247 is: 171,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984 : 113,247 = 113,247 : x
  2. Step 2: Convert to fraction form
    74,984/113,247 = 113,247/x
  3. Step 3: Cross multiply
    74,984x = 113,247 × 113,247
  4. Step 4: Simplify right side
    74,984x = 12,824,883,009
  5. Step 5: Solve for x
    x = 12,824,883,009/74,984
  6. Step 6: Final answer
    x = 171,034.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.