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Finding the Third Proportional to 118,943 and 184,455

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Solution

The third proportional to 118,943 and 184,455 is: 286,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,943 : 184,455 = 184,455 : x
  2. Step 2: Convert to fraction form
    118,943/184,455 = 184,455/x
  3. Step 3: Cross multiply
    118,943x = 184,455 × 184,455
  4. Step 4: Simplify right side
    118,943x = 34,023,647,025
  5. Step 5: Solve for x
    x = 34,023,647,025/118,943
  6. Step 6: Final answer
    x = 286,050.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.