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Finding the Third Proportional to 55,882 and 120,476

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Solution

The third proportional to 55,882 and 120,476 is: 259,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882 : 120,476 = 120,476 : x
  2. Step 2: Convert to fraction form
    55,882/120,476 = 120,476/x
  3. Step 3: Cross multiply
    55,882x = 120,476 × 120,476
  4. Step 4: Simplify right side
    55,882x = 14,514,466,576
  5. Step 5: Solve for x
    x = 14,514,466,576/55,882
  6. Step 6: Final answer
    x = 259,734.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.