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Finding the Third Proportional to 78,570 and 169,692

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Solution

The third proportional to 78,570 and 169,692 is: 366,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570 : 169,692 = 169,692 : x
  2. Step 2: Convert to fraction form
    78,570/169,692 = 169,692/x
  3. Step 3: Cross multiply
    78,570x = 169,692 × 169,692
  4. Step 4: Simplify right side
    78,570x = 28,795,374,864
  5. Step 5: Solve for x
    x = 28,795,374,864/78,570
  6. Step 6: Final answer
    x = 366,493.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.