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Finding the Third Proportional to 82,964.63 and 127,594.69

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Solution

The third proportional to 82,964.63 and 127,594.69 is: 196,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964.63 : 127,594.69 = 127,594.69 : x
  2. Step 2: Convert to fraction form
    82,964.63/127,594.69 = 127,594.69/x
  3. Step 3: Cross multiply
    82,964.63x = 127,594.69 × 127,594.69
  4. Step 4: Simplify right side
    82,964.63x = 16,280,404,278.22
  5. Step 5: Solve for x
    x = 16,280,404,278.22/82,964.63
  6. Step 6: Final answer
    x = 196,233.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.