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Finding the Third Proportional to 61,342 and 82,430

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Solution

The third proportional to 61,342 and 82,430 is: 110,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342 : 82,430 = 82,430 : x
  2. Step 2: Convert to fraction form
    61,342/82,430 = 82,430/x
  3. Step 3: Cross multiply
    61,342x = 82,430 × 82,430
  4. Step 4: Simplify right side
    61,342x = 6,794,704,900
  5. Step 5: Solve for x
    x = 6,794,704,900/61,342
  6. Step 6: Final answer
    x = 110,767.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.