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Finding the Third Proportional to 56,590 and 124,476

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Solution

The third proportional to 56,590 and 124,476 is: 273,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,590 : 124,476 = 124,476 : x
  2. Step 2: Convert to fraction form
    56,590/124,476 = 124,476/x
  3. Step 3: Cross multiply
    56,590x = 124,476 × 124,476
  4. Step 4: Simplify right side
    56,590x = 15,494,274,576
  5. Step 5: Solve for x
    x = 15,494,274,576/56,590
  6. Step 6: Final answer
    x = 273,798.81

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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.