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Finding the Third Proportional to 125,112 and 184,358

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Solution

The third proportional to 125,112 and 184,358 is: 271,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,112 : 184,358 = 184,358 : x
  2. Step 2: Convert to fraction form
    125,112/184,358 = 184,358/x
  3. Step 3: Cross multiply
    125,112x = 184,358 × 184,358
  4. Step 4: Simplify right side
    125,112x = 33,987,872,164
  5. Step 5: Solve for x
    x = 33,987,872,164/125,112
  6. Step 6: Final answer
    x = 271,659.57

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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.