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Finding the Third Proportional to 53,784 and 78,771

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Solution

The third proportional to 53,784 and 78,771 is: 115,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 78,771 = 78,771 : x
  2. Step 2: Convert to fraction form
    53,784/78,771 = 78,771/x
  3. Step 3: Cross multiply
    53,784x = 78,771 × 78,771
  4. Step 4: Simplify right side
    53,784x = 6,204,870,441
  5. Step 5: Solve for x
    x = 6,204,870,441/53,784
  6. Step 6: Final answer
    x = 115,366.47

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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.