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Finding the Third Proportional to 74,496 and 151,152

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Solution

The third proportional to 74,496 and 151,152 is: 306,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496 : 151,152 = 151,152 : x
  2. Step 2: Convert to fraction form
    74,496/151,152 = 151,152/x
  3. Step 3: Cross multiply
    74,496x = 151,152 × 151,152
  4. Step 4: Simplify right side
    74,496x = 22,846,927,104
  5. Step 5: Solve for x
    x = 22,846,927,104/74,496
  6. Step 6: Final answer
    x = 306,686.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.