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Finding the Third Proportional to 61,284.50 and 85,929

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Solution

The third proportional to 61,284.50 and 85,929 is: 120,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.50 : 85,929 = 85,929 : x
  2. Step 2: Convert to fraction form
    61,284.50/85,929 = 85,929/x
  3. Step 3: Cross multiply
    61,284.50x = 85,929 × 85,929
  4. Step 4: Simplify right side
    61,284.50x = 7,383,793,041
  5. Step 5: Solve for x
    x = 7,383,793,041/61,284.50
  6. Step 6: Final answer
    x = 120,483.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.