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Finding the Third Proportional to 76,173 and 118,419

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Solution

The third proportional to 76,173 and 118,419 is: 184,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,173 : 118,419 = 118,419 : x
  2. Step 2: Convert to fraction form
    76,173/118,419 = 118,419/x
  3. Step 3: Cross multiply
    76,173x = 118,419 × 118,419
  4. Step 4: Simplify right side
    76,173x = 14,023,059,561
  5. Step 5: Solve for x
    x = 14,023,059,561/76,173
  6. Step 6: Final answer
    x = 184,094.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.