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Finding the Third Proportional to 73,158 and 106,949.25

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Solution

The third proportional to 73,158 and 106,949.25 is: 156,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,158 : 106,949.25 = 106,949.25 : x
  2. Step 2: Convert to fraction form
    73,158/106,949.25 = 106,949.25/x
  3. Step 3: Cross multiply
    73,158x = 106,949.25 × 106,949.25
  4. Step 4: Simplify right side
    73,158x = 11,438,142,075.56
  5. Step 5: Solve for x
    x = 11,438,142,075.56/73,158
  6. Step 6: Final answer
    x = 156,348.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.