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Finding the Third Proportional to 128,048 and 184,445

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Solution

The third proportional to 128,048 and 184,445 is: 265,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,048 : 184,445 = 184,445 : x
  2. Step 2: Convert to fraction form
    128,048/184,445 = 184,445/x
  3. Step 3: Cross multiply
    128,048x = 184,445 × 184,445
  4. Step 4: Simplify right side
    128,048x = 34,019,958,025
  5. Step 5: Solve for x
    x = 34,019,958,025/128,048
  6. Step 6: Final answer
    x = 265,681.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.