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Finding the Third Proportional to 61,596 and 85,819

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Solution

The third proportional to 61,596 and 85,819 is: 119,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,596 : 85,819 = 85,819 : x
  2. Step 2: Convert to fraction form
    61,596/85,819 = 85,819/x
  3. Step 3: Cross multiply
    61,596x = 85,819 × 85,819
  4. Step 4: Simplify right side
    61,596x = 7,364,900,761
  5. Step 5: Solve for x
    x = 7,364,900,761/61,596
  6. Step 6: Final answer
    x = 119,567.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.