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Finding the Third Proportional to 66,263.06 and 138,115.13

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Solution

The third proportional to 66,263.06 and 138,115.13 is: 287,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,263.06 : 138,115.13 = 138,115.13 : x
  2. Step 2: Convert to fraction form
    66,263.06/138,115.13 = 138,115.13/x
  3. Step 3: Cross multiply
    66,263.06x = 138,115.13 × 138,115.13
  4. Step 4: Simplify right side
    66,263.06x = 19,075,787,753.77
  5. Step 5: Solve for x
    x = 19,075,787,753.77/66,263.06
  6. Step 6: Final answer
    x = 287,879.66

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.