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Finding the Third Proportional to 77,964 and 121,504

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Solution

The third proportional to 77,964 and 121,504 is: 189,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 121,504 = 121,504 : x
  2. Step 2: Convert to fraction form
    77,964/121,504 = 121,504/x
  3. Step 3: Cross multiply
    77,964x = 121,504 × 121,504
  4. Step 4: Simplify right side
    77,964x = 14,763,222,016
  5. Step 5: Solve for x
    x = 14,763,222,016/77,964
  6. Step 6: Final answer
    x = 189,359.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.