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Finding the Third Proportional to 56,024 and 121,466

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Solution

The third proportional to 56,024 and 121,466 is: 263,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,024 : 121,466 = 121,466 : x
  2. Step 2: Convert to fraction form
    56,024/121,466 = 121,466/x
  3. Step 3: Cross multiply
    56,024x = 121,466 × 121,466
  4. Step 4: Simplify right side
    56,024x = 14,753,989,156
  5. Step 5: Solve for x
    x = 14,753,989,156/56,024
  6. Step 6: Final answer
    x = 263,351.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.