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Finding the Third Proportional to 94,131.75 and 143,403.50

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Solution

The third proportional to 94,131.75 and 143,403.50 is: 218,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,131.75 : 143,403.50 = 143,403.50 : x
  2. Step 2: Convert to fraction form
    94,131.75/143,403.50 = 143,403.50/x
  3. Step 3: Cross multiply
    94,131.75x = 143,403.50 × 143,403.50
  4. Step 4: Simplify right side
    94,131.75x = 20,564,563,812.25
  5. Step 5: Solve for x
    x = 20,564,563,812.25/94,131.75
  6. Step 6: Final answer
    x = 218,465.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.