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Finding the Third Proportional to 62,226 and 99,818

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Solution

The third proportional to 62,226 and 99,818 is: 160,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,226 : 99,818 = 99,818 : x
  2. Step 2: Convert to fraction form
    62,226/99,818 = 99,818/x
  3. Step 3: Cross multiply
    62,226x = 99,818 × 99,818
  4. Step 4: Simplify right side
    62,226x = 9,963,633,124
  5. Step 5: Solve for x
    x = 9,963,633,124/62,226
  6. Step 6: Final answer
    x = 160,120.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.