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Finding the Third Proportional to 55,011 and 118,779

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Solution

The third proportional to 55,011 and 118,779 is: 256,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,011 : 118,779 = 118,779 : x
  2. Step 2: Convert to fraction form
    55,011/118,779 = 118,779/x
  3. Step 3: Cross multiply
    55,011x = 118,779 × 118,779
  4. Step 4: Simplify right side
    55,011x = 14,108,450,841
  5. Step 5: Solve for x
    x = 14,108,450,841/55,011
  6. Step 6: Final answer
    x = 256,465.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.