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Finding the Third Proportional to 136,596 and 184,142

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Solution

The third proportional to 136,596 and 184,142 is: 248,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,596 : 184,142 = 184,142 : x
  2. Step 2: Convert to fraction form
    136,596/184,142 = 184,142/x
  3. Step 3: Cross multiply
    136,596x = 184,142 × 184,142
  4. Step 4: Simplify right side
    136,596x = 33,908,276,164
  5. Step 5: Solve for x
    x = 33,908,276,164/136,596
  6. Step 6: Final answer
    x = 248,237.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.