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Finding the Third Proportional to 66,088.41 and 106,388.44

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Solution

The third proportional to 66,088.41 and 106,388.44 is: 171,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,088.41 : 106,388.44 = 106,388.44 : x
  2. Step 2: Convert to fraction form
    66,088.41/106,388.44 = 106,388.44/x
  3. Step 3: Cross multiply
    66,088.41x = 106,388.44 × 106,388.44
  4. Step 4: Simplify right side
    66,088.41x = 11,318,499,633.69
  5. Step 5: Solve for x
    x = 11,318,499,633.69/66,088.41
  6. Step 6: Final answer
    x = 171,263.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.