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Finding the Third Proportional to 68,570 and 104,178

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Solution

The third proportional to 68,570 and 104,178 is: 158,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,570 : 104,178 = 104,178 : x
  2. Step 2: Convert to fraction form
    68,570/104,178 = 104,178/x
  3. Step 3: Cross multiply
    68,570x = 104,178 × 104,178
  4. Step 4: Simplify right side
    68,570x = 10,853,055,684
  5. Step 5: Solve for x
    x = 10,853,055,684/68,570
  6. Step 6: Final answer
    x = 158,277.03

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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.