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Finding the Third Proportional to 73,644 and 116,652

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Solution

The third proportional to 73,644 and 116,652 is: 184,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,644 : 116,652 = 116,652 : x
  2. Step 2: Convert to fraction form
    73,644/116,652 = 116,652/x
  3. Step 3: Cross multiply
    73,644x = 116,652 × 116,652
  4. Step 4: Simplify right side
    73,644x = 13,607,689,104
  5. Step 5: Solve for x
    x = 13,607,689,104/73,644
  6. Step 6: Final answer
    x = 184,776.62

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Why These Related Problems?

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