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Finding the Third Proportional to 62,635 and 110,389

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Solution

The third proportional to 62,635 and 110,389 is: 194,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,635 : 110,389 = 110,389 : x
  2. Step 2: Convert to fraction form
    62,635/110,389 = 110,389/x
  3. Step 3: Cross multiply
    62,635x = 110,389 × 110,389
  4. Step 4: Simplify right side
    62,635x = 12,185,731,321
  5. Step 5: Solve for x
    x = 12,185,731,321/62,635
  6. Step 6: Final answer
    x = 194,551.47

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.