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Finding the Third Proportional to 117,922.50 and 254,525.63

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Solution

The third proportional to 117,922.50 and 254,525.63 is: 549,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,922.50 : 254,525.63 = 254,525.63 : x
  2. Step 2: Convert to fraction form
    117,922.50/254,525.63 = 254,525.63/x
  3. Step 3: Cross multiply
    117,922.50x = 254,525.63 × 254,525.63
  4. Step 4: Simplify right side
    117,922.50x = 64,783,293,781.64
  5. Step 5: Solve for x
    x = 64,783,293,781.64/117,922.50
  6. Step 6: Final answer
    x = 549,371.78

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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.