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Finding the Third Proportional to 69,665.06 and 152,679.94

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Solution

The third proportional to 69,665.06 and 152,679.94 is: 334,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,665.06 : 152,679.94 = 152,679.94 : x
  2. Step 2: Convert to fraction form
    69,665.06/152,679.94 = 152,679.94/x
  3. Step 3: Cross multiply
    69,665.06x = 152,679.94 × 152,679.94
  4. Step 4: Simplify right side
    69,665.06x = 23,311,163,315.00
  5. Step 5: Solve for x
    x = 23,311,163,315.00/69,665.06
  6. Step 6: Final answer
    x = 334,617.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.