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Finding the Third Proportional to 124,736 and 237,988

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Solution

The third proportional to 124,736 and 237,988 is: 454,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,736 : 237,988 = 237,988 : x
  2. Step 2: Convert to fraction form
    124,736/237,988 = 237,988/x
  3. Step 3: Cross multiply
    124,736x = 237,988 × 237,988
  4. Step 4: Simplify right side
    124,736x = 56,638,288,144
  5. Step 5: Solve for x
    x = 56,638,288,144/124,736
  6. Step 6: Final answer
    x = 454,065.29

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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.