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Finding the Third Proportional to 94,924.41 and 138,639.09

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Solution

The third proportional to 94,924.41 and 138,639.09 is: 202,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,924.41 : 138,639.09 = 138,639.09 : x
  2. Step 2: Convert to fraction form
    94,924.41/138,639.09 = 138,639.09/x
  3. Step 3: Cross multiply
    94,924.41x = 138,639.09 × 138,639.09
  4. Step 4: Simplify right side
    94,924.41x = 19,220,798,315.82
  5. Step 5: Solve for x
    x = 19,220,798,315.82/94,924.41
  6. Step 6: Final answer
    x = 202,485.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.