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Finding the Third Proportional to 61,771.50 and 83,889

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Solution

The third proportional to 61,771.50 and 83,889 is: 113,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,771.50 : 83,889 = 83,889 : x
  2. Step 2: Convert to fraction form
    61,771.50/83,889 = 83,889/x
  3. Step 3: Cross multiply
    61,771.50x = 83,889 × 83,889
  4. Step 4: Simplify right side
    61,771.50x = 7,037,364,321
  5. Step 5: Solve for x
    x = 7,037,364,321/61,771.50
  6. Step 6: Final answer
    x = 113,925.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.