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Finding the Third Proportional to 124,728 and 237,963

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Solution

The third proportional to 124,728 and 237,963 is: 453,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,728 : 237,963 = 237,963 : x
  2. Step 2: Convert to fraction form
    124,728/237,963 = 237,963/x
  3. Step 3: Cross multiply
    124,728x = 237,963 × 237,963
  4. Step 4: Simplify right side
    124,728x = 56,626,389,369
  5. Step 5: Solve for x
    x = 56,626,389,369/124,728
  6. Step 6: Final answer
    x = 453,999.02

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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.