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Finding the Third Proportional to 102,930.75 and 160,415.44

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Solution

The third proportional to 102,930.75 and 160,415.44 is: 250,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930.75 : 160,415.44 = 160,415.44 : x
  2. Step 2: Convert to fraction form
    102,930.75/160,415.44 = 160,415.44/x
  3. Step 3: Cross multiply
    102,930.75x = 160,415.44 × 160,415.44
  4. Step 4: Simplify right side
    102,930.75x = 25,733,112,588.32
  5. Step 5: Solve for x
    x = 25,733,112,588.32/102,930.75
  6. Step 6: Final answer
    x = 250,004.13

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