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Finding the Third Proportional to 118,432 and 182,039.50

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Solution

The third proportional to 118,432 and 182,039.50 is: 279,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,432 : 182,039.50 = 182,039.50 : x
  2. Step 2: Convert to fraction form
    118,432/182,039.50 = 182,039.50/x
  3. Step 3: Cross multiply
    118,432x = 182,039.50 × 182,039.50
  4. Step 4: Simplify right side
    118,432x = 33,138,379,560.25
  5. Step 5: Solve for x
    x = 33,138,379,560.25/118,432
  6. Step 6: Final answer
    x = 279,809.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.