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Finding the Third Proportional to 124,722 and 237,951

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Solution

The third proportional to 124,722 and 237,951 is: 453,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,722 : 237,951 = 237,951 : x
  2. Step 2: Convert to fraction form
    124,722/237,951 = 237,951/x
  3. Step 3: Cross multiply
    124,722x = 237,951 × 237,951
  4. Step 4: Simplify right side
    124,722x = 56,620,678,401
  5. Step 5: Solve for x
    x = 56,620,678,401/124,722
  6. Step 6: Final answer
    x = 453,975.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.