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Finding the Third Proportional to 104,078.25 and 156,848.63

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Solution

The third proportional to 104,078.25 and 156,848.63 is: 236,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078.25 : 156,848.63 = 156,848.63 : x
  2. Step 2: Convert to fraction form
    104,078.25/156,848.63 = 156,848.63/x
  3. Step 3: Cross multiply
    104,078.25x = 156,848.63 × 156,848.63
  4. Step 4: Simplify right side
    104,078.25x = 24,601,491,164.39
  5. Step 5: Solve for x
    x = 24,601,491,164.39/104,078.25
  6. Step 6: Final answer
    x = 236,374.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.