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Finding the Third Proportional to 78,485.50 and 169,850

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Solution

The third proportional to 78,485.50 and 169,850 is: 367,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,485.50 : 169,850 = 169,850 : x
  2. Step 2: Convert to fraction form
    78,485.50/169,850 = 169,850/x
  3. Step 3: Cross multiply
    78,485.50x = 169,850 × 169,850
  4. Step 4: Simplify right side
    78,485.50x = 28,849,022,500
  5. Step 5: Solve for x
    x = 28,849,022,500/78,485.50
  6. Step 6: Final answer
    x = 367,571.37

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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.