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Finding the Third Proportional to 116,937 and 247,779

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Solution

The third proportional to 116,937 and 247,779 is: 525,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,937 : 247,779 = 247,779 : x
  2. Step 2: Convert to fraction form
    116,937/247,779 = 247,779/x
  3. Step 3: Cross multiply
    116,937x = 247,779 × 247,779
  4. Step 4: Simplify right side
    116,937x = 61,394,432,841
  5. Step 5: Solve for x
    x = 61,394,432,841/116,937
  6. Step 6: Final answer
    x = 525,021.45

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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.