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Finding the Third Proportional to 51,273 and 110,210.63

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Solution

The third proportional to 51,273 and 110,210.63 is: 236,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,273 : 110,210.63 = 110,210.63 : x
  2. Step 2: Convert to fraction form
    51,273/110,210.63 = 110,210.63/x
  3. Step 3: Cross multiply
    51,273x = 110,210.63 × 110,210.63
  4. Step 4: Simplify right side
    51,273x = 12,146,381,862.89
  5. Step 5: Solve for x
    x = 12,146,381,862.89/51,273
  6. Step 6: Final answer
    x = 236,896.26

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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.