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Finding the Third Proportional to 51,780 and 110,937

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Solution

The third proportional to 51,780 and 110,937 is: 237,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780 : 110,937 = 110,937 : x
  2. Step 2: Convert to fraction form
    51,780/110,937 = 110,937/x
  3. Step 3: Cross multiply
    51,780x = 110,937 × 110,937
  4. Step 4: Simplify right side
    51,780x = 12,307,017,969
  5. Step 5: Solve for x
    x = 12,307,017,969/51,780
  6. Step 6: Final answer
    x = 237,678.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.