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Finding the Third Proportional to 82,698 and 131,430

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Solution

The third proportional to 82,698 and 131,430 is: 208,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698 : 131,430 = 131,430 : x
  2. Step 2: Convert to fraction form
    82,698/131,430 = 131,430/x
  3. Step 3: Cross multiply
    82,698x = 131,430 × 131,430
  4. Step 4: Simplify right side
    82,698x = 17,273,844,900
  5. Step 5: Solve for x
    x = 17,273,844,900/82,698
  6. Step 6: Final answer
    x = 208,878.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.