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Finding the Third Proportional to 104,470 and 159,155

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Solution

The third proportional to 104,470 and 159,155 is: 242,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,470 : 159,155 = 159,155 : x
  2. Step 2: Convert to fraction form
    104,470/159,155 = 159,155/x
  3. Step 3: Cross multiply
    104,470x = 159,155 × 159,155
  4. Step 4: Simplify right side
    104,470x = 25,330,314,025
  5. Step 5: Solve for x
    x = 25,330,314,025/104,470
  6. Step 6: Final answer
    x = 242,464.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.