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Finding the Third Proportional to 75,809.44 and 118,908.28

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Solution

The third proportional to 75,809.44 and 118,908.28 is: 186,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,809.44 : 118,908.28 = 118,908.28 : x
  2. Step 2: Convert to fraction form
    75,809.44/118,908.28 = 118,908.28/x
  3. Step 3: Cross multiply
    75,809.44x = 118,908.28 × 118,908.28
  4. Step 4: Simplify right side
    75,809.44x = 14,139,179,349.83
  5. Step 5: Solve for x
    x = 14,139,179,349.83/75,809.44
  6. Step 6: Final answer
    x = 186,509.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.