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Finding the Third Proportional to 51,172 and 78,944

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Solution

The third proportional to 51,172 and 78,944 is: 121,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172 : 78,944 = 78,944 : x
  2. Step 2: Convert to fraction form
    51,172/78,944 = 78,944/x
  3. Step 3: Cross multiply
    51,172x = 78,944 × 78,944
  4. Step 4: Simplify right side
    51,172x = 6,232,155,136
  5. Step 5: Solve for x
    x = 6,232,155,136/51,172
  6. Step 6: Final answer
    x = 121,788.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.