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Finding the Third Proportional to 40,964 and 86,050

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Solution

The third proportional to 40,964 and 86,050 is: 180,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,964 : 86,050 = 86,050 : x
  2. Step 2: Convert to fraction form
    40,964/86,050 = 86,050/x
  3. Step 3: Cross multiply
    40,964x = 86,050 × 86,050
  4. Step 4: Simplify right side
    40,964x = 7,404,602,500
  5. Step 5: Solve for x
    x = 7,404,602,500/40,964
  6. Step 6: Final answer
    x = 180,758.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.