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Finding the Third Proportional to 51,294 and 110,253

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Solution

The third proportional to 51,294 and 110,253 is: 236,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294 : 110,253 = 110,253 : x
  2. Step 2: Convert to fraction form
    51,294/110,253 = 110,253/x
  3. Step 3: Cross multiply
    51,294x = 110,253 × 110,253
  4. Step 4: Simplify right side
    51,294x = 12,155,724,009
  5. Step 5: Solve for x
    x = 12,155,724,009/51,294
  6. Step 6: Final answer
    x = 236,981.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.