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Finding the Third Proportional to 61,984 and 135,830

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Solution

The third proportional to 61,984 and 135,830 is: 297,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,984 : 135,830 = 135,830 : x
  2. Step 2: Convert to fraction form
    61,984/135,830 = 135,830/x
  3. Step 3: Cross multiply
    61,984x = 135,830 × 135,830
  4. Step 4: Simplify right side
    61,984x = 18,449,788,900
  5. Step 5: Solve for x
    x = 18,449,788,900/61,984
  6. Step 6: Final answer
    x = 297,654.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.