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Finding the Third Proportional to 76,348 and 162,842

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Solution

The third proportional to 76,348 and 162,842 is: 347,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 162,842 = 162,842 : x
  2. Step 2: Convert to fraction form
    76,348/162,842 = 162,842/x
  3. Step 3: Cross multiply
    76,348x = 162,842 × 162,842
  4. Step 4: Simplify right side
    76,348x = 26,517,516,964
  5. Step 5: Solve for x
    x = 26,517,516,964/76,348
  6. Step 6: Final answer
    x = 347,324.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.