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Finding the Third Proportional to 56,024 and 121,080

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Solution

The third proportional to 56,024 and 121,080 is: 261,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,024 : 121,080 = 121,080 : x
  2. Step 2: Convert to fraction form
    56,024/121,080 = 121,080/x
  3. Step 3: Cross multiply
    56,024x = 121,080 × 121,080
  4. Step 4: Simplify right side
    56,024x = 14,660,366,400
  5. Step 5: Solve for x
    x = 14,660,366,400/56,024
  6. Step 6: Final answer
    x = 261,680.11

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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.