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Finding the Third Proportional to 102,584.50 and 160,356.75

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Solution

The third proportional to 102,584.50 and 160,356.75 is: 250,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.50 : 160,356.75 = 160,356.75 : x
  2. Step 2: Convert to fraction form
    102,584.50/160,356.75 = 160,356.75/x
  3. Step 3: Cross multiply
    102,584.50x = 160,356.75 × 160,356.75
  4. Step 4: Simplify right side
    102,584.50x = 25,714,287,270.56
  5. Step 5: Solve for x
    x = 25,714,287,270.56/102,584.50
  6. Step 6: Final answer
    x = 250,664.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.