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Finding the Third Proportional to 51,158.25 and 109,420.88

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Solution

The third proportional to 51,158.25 and 109,420.88 is: 234,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,158.25 : 109,420.88 = 109,420.88 : x
  2. Step 2: Convert to fraction form
    51,158.25/109,420.88 = 109,420.88/x
  3. Step 3: Cross multiply
    51,158.25x = 109,420.88 × 109,420.88
  4. Step 4: Simplify right side
    51,158.25x = 11,972,927,885.77
  5. Step 5: Solve for x
    x = 11,972,927,885.77/51,158.25
  6. Step 6: Final answer
    x = 234,037.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.