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Finding the Third Proportional to 53,822 and 75,243

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Solution

The third proportional to 53,822 and 75,243 is: 105,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,822 : 75,243 = 75,243 : x
  2. Step 2: Convert to fraction form
    53,822/75,243 = 75,243/x
  3. Step 3: Cross multiply
    53,822x = 75,243 × 75,243
  4. Step 4: Simplify right side
    53,822x = 5,661,509,049
  5. Step 5: Solve for x
    x = 5,661,509,049/53,822
  6. Step 6: Final answer
    x = 105,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.