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Finding the Third Proportional to 77,512 and 115,964

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Solution

The third proportional to 77,512 and 115,964 is: 173,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512 : 115,964 = 115,964 : x
  2. Step 2: Convert to fraction form
    77,512/115,964 = 115,964/x
  3. Step 3: Cross multiply
    77,512x = 115,964 × 115,964
  4. Step 4: Simplify right side
    77,512x = 13,447,649,296
  5. Step 5: Solve for x
    x = 13,447,649,296/77,512
  6. Step 6: Final answer
    x = 173,491.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.