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Finding the Third Proportional to 79,114.50 and 105,682.50

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Solution

The third proportional to 79,114.50 and 105,682.50 is: 141,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,114.50 : 105,682.50 = 105,682.50 : x
  2. Step 2: Convert to fraction form
    79,114.50/105,682.50 = 105,682.50/x
  3. Step 3: Cross multiply
    79,114.50x = 105,682.50 × 105,682.50
  4. Step 4: Simplify right side
    79,114.50x = 11,168,790,806.25
  5. Step 5: Solve for x
    x = 11,168,790,806.25/79,114.50
  6. Step 6: Final answer
    x = 141,172.49

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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.