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Finding the Third Proportional to 68,692 and 108,570

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Solution

The third proportional to 68,692 and 108,570 is: 171,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692 : 108,570 = 108,570 : x
  2. Step 2: Convert to fraction form
    68,692/108,570 = 108,570/x
  3. Step 3: Cross multiply
    68,692x = 108,570 × 108,570
  4. Step 4: Simplify right side
    68,692x = 11,787,444,900
  5. Step 5: Solve for x
    x = 11,787,444,900/68,692
  6. Step 6: Final answer
    x = 171,598.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.