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Finding the Third Proportional to 73,498 and 116,533

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Solution

The third proportional to 73,498 and 116,533 is: 184,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,498 : 116,533 = 116,533 : x
  2. Step 2: Convert to fraction form
    73,498/116,533 = 116,533/x
  3. Step 3: Cross multiply
    73,498x = 116,533 × 116,533
  4. Step 4: Simplify right side
    73,498x = 13,579,940,089
  5. Step 5: Solve for x
    x = 13,579,940,089/73,498
  6. Step 6: Final answer
    x = 184,766.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.