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Finding the Third Proportional to 77,980.50 and 123,969.50

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Solution

The third proportional to 77,980.50 and 123,969.50 is: 197,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.50 : 123,969.50 = 123,969.50 : x
  2. Step 2: Convert to fraction form
    77,980.50/123,969.50 = 123,969.50/x
  3. Step 3: Cross multiply
    77,980.50x = 123,969.50 × 123,969.50
  4. Step 4: Simplify right side
    77,980.50x = 15,368,436,930.25
  5. Step 5: Solve for x
    x = 15,368,436,930.25/77,980.50
  6. Step 6: Final answer
    x = 197,080.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.