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Finding the Third Proportional to 125,360 and 192,008

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Solution

The third proportional to 125,360 and 192,008 is: 294,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,360 : 192,008 = 192,008 : x
  2. Step 2: Convert to fraction form
    125,360/192,008 = 192,008/x
  3. Step 3: Cross multiply
    125,360x = 192,008 × 192,008
  4. Step 4: Simplify right side
    125,360x = 36,867,072,064
  5. Step 5: Solve for x
    x = 36,867,072,064/125,360
  6. Step 6: Final answer
    x = 294,089.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.