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Finding the Third Proportional to 49,317 and 72,243

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Solution

The third proportional to 49,317 and 72,243 is: 105,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317 : 72,243 = 72,243 : x
  2. Step 2: Convert to fraction form
    49,317/72,243 = 72,243/x
  3. Step 3: Cross multiply
    49,317x = 72,243 × 72,243
  4. Step 4: Simplify right side
    49,317x = 5,219,051,049
  5. Step 5: Solve for x
    x = 5,219,051,049/49,317
  6. Step 6: Final answer
    x = 105,826.61

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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.