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Finding the Third Proportional to 51,230 and 110,362

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Solution

The third proportional to 51,230 and 110,362 is: 237,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230 : 110,362 = 110,362 : x
  2. Step 2: Convert to fraction form
    51,230/110,362 = 110,362/x
  3. Step 3: Cross multiply
    51,230x = 110,362 × 110,362
  4. Step 4: Simplify right side
    51,230x = 12,179,771,044
  5. Step 5: Solve for x
    x = 12,179,771,044/51,230
  6. Step 6: Final answer
    x = 237,746.85

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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.