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Finding the Third Proportional to 76,192 and 118,438

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Solution

The third proportional to 76,192 and 118,438 is: 184,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,192 : 118,438 = 118,438 : x
  2. Step 2: Convert to fraction form
    76,192/118,438 = 118,438/x
  3. Step 3: Cross multiply
    76,192x = 118,438 × 118,438
  4. Step 4: Simplify right side
    76,192x = 14,027,559,844
  5. Step 5: Solve for x
    x = 14,027,559,844/76,192
  6. Step 6: Final answer
    x = 184,108.04

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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.