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Finding the Third Proportional to 82,984 and 119,292

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Solution

The third proportional to 82,984 and 119,292 is: 171,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984 : 119,292 = 119,292 : x
  2. Step 2: Convert to fraction form
    82,984/119,292 = 119,292/x
  3. Step 3: Cross multiply
    82,984x = 119,292 × 119,292
  4. Step 4: Simplify right side
    82,984x = 14,230,581,264
  5. Step 5: Solve for x
    x = 14,230,581,264/82,984
  6. Step 6: Final answer
    x = 171,485.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.