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Finding the Third Proportional to 77,991.50 and 111,531.50

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Solution

The third proportional to 77,991.50 and 111,531.50 is: 159,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.50 : 111,531.50 = 111,531.50 : x
  2. Step 2: Convert to fraction form
    77,991.50/111,531.50 = 111,531.50/x
  3. Step 3: Cross multiply
    77,991.50x = 111,531.50 × 111,531.50
  4. Step 4: Simplify right side
    77,991.50x = 12,439,275,492.25
  5. Step 5: Solve for x
    x = 12,439,275,492.25/77,991.50
  6. Step 6: Final answer
    x = 159,495.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.