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Finding the Third Proportional to 70,184.63 and 107,988

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Solution

The third proportional to 70,184.63 and 107,988 is: 166,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,184.63 : 107,988 = 107,988 : x
  2. Step 2: Convert to fraction form
    70,184.63/107,988 = 107,988/x
  3. Step 3: Cross multiply
    70,184.63x = 107,988 × 107,988
  4. Step 4: Simplify right side
    70,184.63x = 11,661,408,144
  5. Step 5: Solve for x
    x = 11,661,408,144/70,184.63
  6. Step 6: Final answer
    x = 166,153.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.