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Finding the Third Proportional to 74,060 and 105,832

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Solution

The third proportional to 74,060 and 105,832 is: 151,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,060 : 105,832 = 105,832 : x
  2. Step 2: Convert to fraction form
    74,060/105,832 = 105,832/x
  3. Step 3: Cross multiply
    74,060x = 105,832 × 105,832
  4. Step 4: Simplify right side
    74,060x = 11,200,412,224
  5. Step 5: Solve for x
    x = 11,200,412,224/74,060
  6. Step 6: Final answer
    x = 151,234.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.