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Finding the Third Proportional to 51,011 and 79,253

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Solution

The third proportional to 51,011 and 79,253 is: 123,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,011 : 79,253 = 79,253 : x
  2. Step 2: Convert to fraction form
    51,011/79,253 = 79,253/x
  3. Step 3: Cross multiply
    51,011x = 79,253 × 79,253
  4. Step 4: Simplify right side
    51,011x = 6,281,038,009
  5. Step 5: Solve for x
    x = 6,281,038,009/51,011
  6. Step 6: Final answer
    x = 123,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.