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Finding the Third Proportional to 125,440 and 184,146

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Solution

The third proportional to 125,440 and 184,146 is: 270,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,440 : 184,146 = 184,146 : x
  2. Step 2: Convert to fraction form
    125,440/184,146 = 184,146/x
  3. Step 3: Cross multiply
    125,440x = 184,146 × 184,146
  4. Step 4: Simplify right side
    125,440x = 33,909,749,316
  5. Step 5: Solve for x
    x = 33,909,749,316/125,440
  6. Step 6: Final answer
    x = 270,326.45

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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.