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Finding the Third Proportional to 82,274 and 120,292

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Solution

The third proportional to 82,274 and 120,292 is: 175,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274 : 120,292 = 120,292 : x
  2. Step 2: Convert to fraction form
    82,274/120,292 = 120,292/x
  3. Step 3: Cross multiply
    82,274x = 120,292 × 120,292
  4. Step 4: Simplify right side
    82,274x = 14,470,165,264
  5. Step 5: Solve for x
    x = 14,470,165,264/82,274
  6. Step 6: Final answer
    x = 175,877.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.