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Finding the Third Proportional to 149,040 and 193,590

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Solution

The third proportional to 149,040 and 193,590 is: 251,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,040 : 193,590 = 193,590 : x
  2. Step 2: Convert to fraction form
    149,040/193,590 = 193,590/x
  3. Step 3: Cross multiply
    149,040x = 193,590 × 193,590
  4. Step 4: Simplify right side
    149,040x = 37,477,088,100
  5. Step 5: Solve for x
    x = 37,477,088,100/149,040
  6. Step 6: Final answer
    x = 251,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.