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Finding the Third Proportional to 125,097 and 184,335

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Solution

The third proportional to 125,097 and 184,335 is: 271,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,097 : 184,335 = 184,335 : x
  2. Step 2: Convert to fraction form
    125,097/184,335 = 184,335/x
  3. Step 3: Cross multiply
    125,097x = 184,335 × 184,335
  4. Step 4: Simplify right side
    125,097x = 33,979,392,225
  5. Step 5: Solve for x
    x = 33,979,392,225/125,097
  6. Step 6: Final answer
    x = 271,624.36

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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.