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Finding the Third Proportional to 48,174 and 103,044

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Solution

The third proportional to 48,174 and 103,044 is: 220,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,174 : 103,044 = 103,044 : x
  2. Step 2: Convert to fraction form
    48,174/103,044 = 103,044/x
  3. Step 3: Cross multiply
    48,174x = 103,044 × 103,044
  4. Step 4: Simplify right side
    48,174x = 10,618,065,936
  5. Step 5: Solve for x
    x = 10,618,065,936/48,174
  6. Step 6: Final answer
    x = 220,410.72

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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.