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Finding the Third Proportional to 45,001.50 and 106,094.50

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Solution

The third proportional to 45,001.50 and 106,094.50 is: 250,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,001.50 : 106,094.50 = 106,094.50 : x
  2. Step 2: Convert to fraction form
    45,001.50/106,094.50 = 106,094.50/x
  3. Step 3: Cross multiply
    45,001.50x = 106,094.50 × 106,094.50
  4. Step 4: Simplify right side
    45,001.50x = 11,256,042,930.25
  5. Step 5: Solve for x
    x = 11,256,042,930.25/45,001.50
  6. Step 6: Final answer
    x = 250,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.