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Finding the Third Proportional to 36,480 and 78,144

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Solution

The third proportional to 36,480 and 78,144 is: 167,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480 : 78,144 = 78,144 : x
  2. Step 2: Convert to fraction form
    36,480/78,144 = 78,144/x
  3. Step 3: Cross multiply
    36,480x = 78,144 × 78,144
  4. Step 4: Simplify right side
    36,480x = 6,106,484,736
  5. Step 5: Solve for x
    x = 6,106,484,736/36,480
  6. Step 6: Final answer
    x = 167,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.