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Finding the Third Proportional to 102,611.75 and 153,504.75

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Solution

The third proportional to 102,611.75 and 153,504.75 is: 229,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.75 : 153,504.75 = 153,504.75 : x
  2. Step 2: Convert to fraction form
    102,611.75/153,504.75 = 153,504.75/x
  3. Step 3: Cross multiply
    102,611.75x = 153,504.75 × 153,504.75
  4. Step 4: Simplify right side
    102,611.75x = 23,563,708,272.56
  5. Step 5: Solve for x
    x = 23,563,708,272.56/102,611.75
  6. Step 6: Final answer
    x = 229,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.