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Finding the Third Proportional to 73,573 and 116,578

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Solution

The third proportional to 73,573 and 116,578 is: 184,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,573 : 116,578 = 116,578 : x
  2. Step 2: Convert to fraction form
    73,573/116,578 = 116,578/x
  3. Step 3: Cross multiply
    73,573x = 116,578 × 116,578
  4. Step 4: Simplify right side
    73,573x = 13,590,430,084
  5. Step 5: Solve for x
    x = 13,590,430,084/73,573
  6. Step 6: Final answer
    x = 184,720.35

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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.