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Finding the Third Proportional to 82,148 and 119,392

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Solution

The third proportional to 82,148 and 119,392 is: 173,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148 : 119,392 = 119,392 : x
  2. Step 2: Convert to fraction form
    82,148/119,392 = 119,392/x
  3. Step 3: Cross multiply
    82,148x = 119,392 × 119,392
  4. Step 4: Simplify right side
    82,148x = 14,254,449,664
  5. Step 5: Solve for x
    x = 14,254,449,664/82,148
  6. Step 6: Final answer
    x = 173,521.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.