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Finding the Third Proportional to 51,966 and 78,323

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Solution

The third proportional to 51,966 and 78,323 is: 118,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 78,323 = 78,323 : x
  2. Step 2: Convert to fraction form
    51,966/78,323 = 78,323/x
  3. Step 3: Cross multiply
    51,966x = 78,323 × 78,323
  4. Step 4: Simplify right side
    51,966x = 6,134,492,329
  5. Step 5: Solve for x
    x = 6,134,492,329/51,966
  6. Step 6: Final answer
    x = 118,048.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.