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Finding the Third Proportional to 69,068.30 and 103,176.37

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Solution

The third proportional to 69,068.30 and 103,176.37 is: 154,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,068.30 : 103,176.37 = 103,176.37 : x
  2. Step 2: Convert to fraction form
    69,068.30/103,176.37 = 103,176.37/x
  3. Step 3: Cross multiply
    69,068.30x = 103,176.37 × 103,176.37
  4. Step 4: Simplify right side
    69,068.30x = 10,645,363,375.75
  5. Step 5: Solve for x
    x = 10,645,363,375.75/69,068.30
  6. Step 6: Final answer
    x = 154,128.06

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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.