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Finding the Third Proportional to 126,886.50 and 184,335

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Solution

The third proportional to 126,886.50 and 184,335 is: 267,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,886.50 : 184,335 = 184,335 : x
  2. Step 2: Convert to fraction form
    126,886.50/184,335 = 184,335/x
  3. Step 3: Cross multiply
    126,886.50x = 184,335 × 184,335
  4. Step 4: Simplify right side
    126,886.50x = 33,979,392,225
  5. Step 5: Solve for x
    x = 33,979,392,225/126,886.50
  6. Step 6: Final answer
    x = 267,793.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.