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Finding the Third Proportional to 130,995 and 184,419

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Solution

The third proportional to 130,995 and 184,419 is: 259,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,995 : 184,419 = 184,419 : x
  2. Step 2: Convert to fraction form
    130,995/184,419 = 184,419/x
  3. Step 3: Cross multiply
    130,995x = 184,419 × 184,419
  4. Step 4: Simplify right side
    130,995x = 34,010,367,561
  5. Step 5: Solve for x
    x = 34,010,367,561/130,995
  6. Step 6: Final answer
    x = 259,631.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.