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Finding the Third Proportional to 51,070 and 110,340

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Solution

The third proportional to 51,070 and 110,340 is: 238,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,070 : 110,340 = 110,340 : x
  2. Step 2: Convert to fraction form
    51,070/110,340 = 110,340/x
  3. Step 3: Cross multiply
    51,070x = 110,340 × 110,340
  4. Step 4: Simplify right side
    51,070x = 12,174,915,600
  5. Step 5: Solve for x
    x = 12,174,915,600/51,070
  6. Step 6: Final answer
    x = 238,396.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.