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Finding the Third Proportional to 124,913 and 184,062

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Solution

The third proportional to 124,913 and 184,062 is: 271,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,913 : 184,062 = 184,062 : x
  2. Step 2: Convert to fraction form
    124,913/184,062 = 184,062/x
  3. Step 3: Cross multiply
    124,913x = 184,062 × 184,062
  4. Step 4: Simplify right side
    124,913x = 33,878,819,844
  5. Step 5: Solve for x
    x = 33,878,819,844/124,913
  6. Step 6: Final answer
    x = 271,219.33

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Why These Related Problems?

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