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Finding the Third Proportional to 106,993 and 143,137.50

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Solution

The third proportional to 106,993 and 143,137.50 is: 191,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993 : 143,137.50 = 143,137.50 : x
  2. Step 2: Convert to fraction form
    106,993/143,137.50 = 143,137.50/x
  3. Step 3: Cross multiply
    106,993x = 143,137.50 × 143,137.50
  4. Step 4: Simplify right side
    106,993x = 20,488,343,906.25
  5. Step 5: Solve for x
    x = 20,488,343,906.25/106,993
  6. Step 6: Final answer
    x = 191,492.38

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.