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Finding the Third Proportional to 55,752 and 122,592

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Solution

The third proportional to 55,752 and 122,592 is: 269,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752 : 122,592 = 122,592 : x
  2. Step 2: Convert to fraction form
    55,752/122,592 = 122,592/x
  3. Step 3: Cross multiply
    55,752x = 122,592 × 122,592
  4. Step 4: Simplify right side
    55,752x = 15,028,798,464
  5. Step 5: Solve for x
    x = 15,028,798,464/55,752
  6. Step 6: Final answer
    x = 269,565.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.