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Finding the Third Proportional to 125,397 and 184,086

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Solution

The third proportional to 125,397 and 184,086 is: 270,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,397 : 184,086 = 184,086 : x
  2. Step 2: Convert to fraction form
    125,397/184,086 = 184,086/x
  3. Step 3: Cross multiply
    125,397x = 184,086 × 184,086
  4. Step 4: Simplify right side
    125,397x = 33,887,655,396
  5. Step 5: Solve for x
    x = 33,887,655,396/125,397
  6. Step 6: Final answer
    x = 270,242.95

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