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Finding the Third Proportional to 23,301 and 54,121.50

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Solution

The third proportional to 23,301 and 54,121.50 is: 125,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301 : 54,121.50 = 54,121.50 : x
  2. Step 2: Convert to fraction form
    23,301/54,121.50 = 54,121.50/x
  3. Step 3: Cross multiply
    23,301x = 54,121.50 × 54,121.50
  4. Step 4: Simplify right side
    23,301x = 2,929,136,762.25
  5. Step 5: Solve for x
    x = 2,929,136,762.25/23,301
  6. Step 6: Final answer
    x = 125,708.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.