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Finding the Third Proportional to 56,490 and 124,266

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Solution

The third proportional to 56,490 and 124,266 is: 273,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490 : 124,266 = 124,266 : x
  2. Step 2: Convert to fraction form
    56,490/124,266 = 124,266/x
  3. Step 3: Cross multiply
    56,490x = 124,266 × 124,266
  4. Step 4: Simplify right side
    56,490x = 15,442,038,756
  5. Step 5: Solve for x
    x = 15,442,038,756/56,490
  6. Step 6: Final answer
    x = 273,358.80

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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.