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Finding the Third Proportional to 32,086 and 78,028

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Solution

The third proportional to 32,086 and 78,028 is: 189,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086 : 78,028 = 78,028 : x
  2. Step 2: Convert to fraction form
    32,086/78,028 = 78,028/x
  3. Step 3: Cross multiply
    32,086x = 78,028 × 78,028
  4. Step 4: Simplify right side
    32,086x = 6,088,368,784
  5. Step 5: Solve for x
    x = 6,088,368,784/32,086
  6. Step 6: Final answer
    x = 189,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.