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Finding the Third Proportional to 61,801 and 83,950

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Solution

The third proportional to 61,801 and 83,950 is: 114,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,801 : 83,950 = 83,950 : x
  2. Step 2: Convert to fraction form
    61,801/83,950 = 83,950/x
  3. Step 3: Cross multiply
    61,801x = 83,950 × 83,950
  4. Step 4: Simplify right side
    61,801x = 7,047,602,500
  5. Step 5: Solve for x
    x = 7,047,602,500/61,801
  6. Step 6: Final answer
    x = 114,037.03

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