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Finding the Third Proportional to 51,360 and 78,834

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Solution

The third proportional to 51,360 and 78,834 is: 121,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,360 : 78,834 = 78,834 : x
  2. Step 2: Convert to fraction form
    51,360/78,834 = 78,834/x
  3. Step 3: Cross multiply
    51,360x = 78,834 × 78,834
  4. Step 4: Simplify right side
    51,360x = 6,214,799,556
  5. Step 5: Solve for x
    x = 6,214,799,556/51,360
  6. Step 6: Final answer
    x = 121,004.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.