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Finding the Third Proportional to 48,391 and 104,197.50

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Solution

The third proportional to 48,391 and 104,197.50 is: 224,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391 : 104,197.50 = 104,197.50 : x
  2. Step 2: Convert to fraction form
    48,391/104,197.50 = 104,197.50/x
  3. Step 3: Cross multiply
    48,391x = 104,197.50 × 104,197.50
  4. Step 4: Simplify right side
    48,391x = 10,857,119,006.25
  5. Step 5: Solve for x
    x = 10,857,119,006.25/48,391
  6. Step 6: Final answer
    x = 224,362.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.