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Finding the Third Proportional to 102,451.55 and 163,672.60

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Solution

The third proportional to 102,451.55 and 163,672.60 is: 261,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,451.55 : 163,672.60 = 163,672.60 : x
  2. Step 2: Convert to fraction form
    102,451.55/163,672.60 = 163,672.60/x
  3. Step 3: Cross multiply
    102,451.55x = 163,672.60 × 163,672.60
  4. Step 4: Simplify right side
    102,451.55x = 26,788,720,821.91
  5. Step 5: Solve for x
    x = 26,788,720,821.91/102,451.55
  6. Step 6: Final answer
    x = 261,476.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.