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Finding the Third Proportional to 73,576 and 116,582

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Solution

The third proportional to 73,576 and 116,582 is: 184,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,576 : 116,582 = 116,582 : x
  2. Step 2: Convert to fraction form
    73,576/116,582 = 116,582/x
  3. Step 3: Cross multiply
    73,576x = 116,582 × 116,582
  4. Step 4: Simplify right side
    73,576x = 13,591,362,724
  5. Step 5: Solve for x
    x = 13,591,362,724/73,576
  6. Step 6: Final answer
    x = 184,725.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.