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Finding the Third Proportional to 25,254 and 55,064

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Solution

The third proportional to 25,254 and 55,064 is: 120,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254 : 55,064 = 55,064 : x
  2. Step 2: Convert to fraction form
    25,254/55,064 = 55,064/x
  3. Step 3: Cross multiply
    25,254x = 55,064 × 55,064
  4. Step 4: Simplify right side
    25,254x = 3,032,044,096
  5. Step 5: Solve for x
    x = 3,032,044,096/25,254
  6. Step 6: Final answer
    x = 120,061.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.