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Finding the Third Proportional to 69,069.50 and 103,178

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Solution

The third proportional to 69,069.50 and 103,178 is: 154,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,069.50 : 103,178 = 103,178 : x
  2. Step 2: Convert to fraction form
    69,069.50/103,178 = 103,178/x
  3. Step 3: Cross multiply
    69,069.50x = 103,178 × 103,178
  4. Step 4: Simplify right side
    69,069.50x = 10,645,699,684
  5. Step 5: Solve for x
    x = 10,645,699,684/69,069.50
  6. Step 6: Final answer
    x = 154,130.26

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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.