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Finding the Third Proportional to 61,698 and 134,564

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Solution

The third proportional to 61,698 and 134,564 is: 293,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,698 : 134,564 = 134,564 : x
  2. Step 2: Convert to fraction form
    61,698/134,564 = 134,564/x
  3. Step 3: Cross multiply
    61,698x = 134,564 × 134,564
  4. Step 4: Simplify right side
    61,698x = 18,107,470,096
  5. Step 5: Solve for x
    x = 18,107,470,096/61,698
  6. Step 6: Final answer
    x = 293,485.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.