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Finding the Third Proportional to 100,374.75 and 136,254.38

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Solution

The third proportional to 100,374.75 and 136,254.38 is: 184,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,374.75 : 136,254.38 = 136,254.38 : x
  2. Step 2: Convert to fraction form
    100,374.75/136,254.38 = 136,254.38/x
  3. Step 3: Cross multiply
    100,374.75x = 136,254.38 × 136,254.38
  4. Step 4: Simplify right side
    100,374.75x = 18,565,254,706.64
  5. Step 5: Solve for x
    x = 18,565,254,706.64/100,374.75
  6. Step 6: Final answer
    x = 184,959.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.