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Finding the Third Proportional to 76,114 and 118,779

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Solution

The third proportional to 76,114 and 118,779 is: 185,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114 : 118,779 = 118,779 : x
  2. Step 2: Convert to fraction form
    76,114/118,779 = 118,779/x
  3. Step 3: Cross multiply
    76,114x = 118,779 × 118,779
  4. Step 4: Simplify right side
    76,114x = 14,108,450,841
  5. Step 5: Solve for x
    x = 14,108,450,841/76,114
  6. Step 6: Final answer
    x = 185,359.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.