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Finding the Third Proportional to 124,672 and 270,080

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Solution

The third proportional to 124,672 and 270,080 is: 585,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,672 : 270,080 = 270,080 : x
  2. Step 2: Convert to fraction form
    124,672/270,080 = 270,080/x
  3. Step 3: Cross multiply
    124,672x = 270,080 × 270,080
  4. Step 4: Simplify right side
    124,672x = 72,943,206,400
  5. Step 5: Solve for x
    x = 72,943,206,400/124,672
  6. Step 6: Final answer
    x = 585,080.90

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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.