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Finding the Third Proportional to 114,920 and 243,756

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Solution

The third proportional to 114,920 and 243,756 is: 517,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,920 : 243,756 = 243,756 : x
  2. Step 2: Convert to fraction form
    114,920/243,756 = 243,756/x
  3. Step 3: Cross multiply
    114,920x = 243,756 × 243,756
  4. Step 4: Simplify right side
    114,920x = 59,416,987,536
  5. Step 5: Solve for x
    x = 59,416,987,536/114,920
  6. Step 6: Final answer
    x = 517,029.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.