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Finding the Third Proportional to 40,784 and 86,176

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Solution

The third proportional to 40,784 and 86,176 is: 182,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784 : 86,176 = 86,176 : x
  2. Step 2: Convert to fraction form
    40,784/86,176 = 86,176/x
  3. Step 3: Cross multiply
    40,784x = 86,176 × 86,176
  4. Step 4: Simplify right side
    40,784x = 7,426,302,976
  5. Step 5: Solve for x
    x = 7,426,302,976/40,784
  6. Step 6: Final answer
    x = 182,088.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.