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Finding the Third Proportional to 66,094.31 and 139,723.31

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Solution

The third proportional to 66,094.31 and 139,723.31 is: 295,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,094.31 : 139,723.31 = 139,723.31 : x
  2. Step 2: Convert to fraction form
    66,094.31/139,723.31 = 139,723.31/x
  3. Step 3: Cross multiply
    66,094.31x = 139,723.31 × 139,723.31
  4. Step 4: Simplify right side
    66,094.31x = 19,522,604,055.97
  5. Step 5: Solve for x
    x = 19,522,604,055.97/66,094.31
  6. Step 6: Final answer
    x = 295,374.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.