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Finding the Third Proportional to 77,692 and 169,964

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Solution

The third proportional to 77,692 and 169,964 is: 371,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692 : 169,964 = 169,964 : x
  2. Step 2: Convert to fraction form
    77,692/169,964 = 169,964/x
  3. Step 3: Cross multiply
    77,692x = 169,964 × 169,964
  4. Step 4: Simplify right side
    77,692x = 28,887,761,296
  5. Step 5: Solve for x
    x = 28,887,761,296/77,692
  6. Step 6: Final answer
    x = 371,824.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.