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Finding the Third Proportional to 78,606 and 169,661.25

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Solution

The third proportional to 78,606 and 169,661.25 is: 366,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,606 : 169,661.25 = 169,661.25 : x
  2. Step 2: Convert to fraction form
    78,606/169,661.25 = 169,661.25/x
  3. Step 3: Cross multiply
    78,606x = 169,661.25 × 169,661.25
  4. Step 4: Simplify right side
    78,606x = 28,784,939,751.56
  5. Step 5: Solve for x
    x = 28,784,939,751.56/78,606
  6. Step 6: Final answer
    x = 366,192.65

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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.