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Finding the Third Proportional to 76,290 and 118,029

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Solution

The third proportional to 76,290 and 118,029 is: 182,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,290 : 118,029 = 118,029 : x
  2. Step 2: Convert to fraction form
    76,290/118,029 = 118,029/x
  3. Step 3: Cross multiply
    76,290x = 118,029 × 118,029
  4. Step 4: Simplify right side
    76,290x = 13,930,844,841
  5. Step 5: Solve for x
    x = 13,930,844,841/76,290
  6. Step 6: Final answer
    x = 182,603.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.