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Finding the Third Proportional to 124,872 and 269,700

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Solution

The third proportional to 124,872 and 269,700 is: 582,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,872 : 269,700 = 269,700 : x
  2. Step 2: Convert to fraction form
    124,872/269,700 = 269,700/x
  3. Step 3: Cross multiply
    124,872x = 269,700 × 269,700
  4. Step 4: Simplify right side
    124,872x = 72,738,090,000
  5. Step 5: Solve for x
    x = 72,738,090,000/124,872
  6. Step 6: Final answer
    x = 582,501.20

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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.