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Finding the Third Proportional to 45,089 and 104,501

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Solution

The third proportional to 45,089 and 104,501 is: 242,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,089 : 104,501 = 104,501 : x
  2. Step 2: Convert to fraction form
    45,089/104,501 = 104,501/x
  3. Step 3: Cross multiply
    45,089x = 104,501 × 104,501
  4. Step 4: Simplify right side
    45,089x = 10,920,459,001
  5. Step 5: Solve for x
    x = 10,920,459,001/45,089
  6. Step 6: Final answer
    x = 242,197.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.