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Finding the Third Proportional to 64,530 and 103,959

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Solution

The third proportional to 64,530 and 103,959 is: 167,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530 : 103,959 = 103,959 : x
  2. Step 2: Convert to fraction form
    64,530/103,959 = 103,959/x
  3. Step 3: Cross multiply
    64,530x = 103,959 × 103,959
  4. Step 4: Simplify right side
    64,530x = 10,807,473,681
  5. Step 5: Solve for x
    x = 10,807,473,681/64,530
  6. Step 6: Final answer
    x = 167,479.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.