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Finding the Third Proportional to 125,658 and 184,718

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Solution

The third proportional to 125,658 and 184,718 is: 271,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,658 : 184,718 = 184,718 : x
  2. Step 2: Convert to fraction form
    125,658/184,718 = 184,718/x
  3. Step 3: Cross multiply
    125,658x = 184,718 × 184,718
  4. Step 4: Simplify right side
    125,658x = 34,120,739,524
  5. Step 5: Solve for x
    x = 34,120,739,524/125,658
  6. Step 6: Final answer
    x = 271,536.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.