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Finding the Third Proportional to 122,967 and 180,292.50

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Solution

The third proportional to 122,967 and 180,292.50 is: 264,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967 : 180,292.50 = 180,292.50 : x
  2. Step 2: Convert to fraction form
    122,967/180,292.50 = 180,292.50/x
  3. Step 3: Cross multiply
    122,967x = 180,292.50 × 180,292.50
  4. Step 4: Simplify right side
    122,967x = 32,505,385,556.25
  5. Step 5: Solve for x
    x = 32,505,385,556.25/122,967
  6. Step 6: Final answer
    x = 264,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.