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Finding the Third Proportional to 53,784 and 75,228

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Solution

The third proportional to 53,784 and 75,228 is: 105,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 75,228 = 75,228 : x
  2. Step 2: Convert to fraction form
    53,784/75,228 = 75,228/x
  3. Step 3: Cross multiply
    53,784x = 75,228 × 75,228
  4. Step 4: Simplify right side
    53,784x = 5,659,251,984
  5. Step 5: Solve for x
    x = 5,659,251,984/53,784
  6. Step 6: Final answer
    x = 105,221.85

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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.