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Finding the Third Proportional to 69,084.56 and 103,199.06

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Solution

The third proportional to 69,084.56 and 103,199.06 is: 154,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,084.56 : 103,199.06 = 103,199.06 : x
  2. Step 2: Convert to fraction form
    69,084.56/103,199.06 = 103,199.06/x
  3. Step 3: Cross multiply
    69,084.56x = 103,199.06 × 103,199.06
  4. Step 4: Simplify right side
    69,084.56x = 10,650,046,500.88
  5. Step 5: Solve for x
    x = 10,650,046,500.88/69,084.56
  6. Step 6: Final answer
    x = 154,159.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.