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Finding the Third Proportional to 47,526 and 104,124

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Solution

The third proportional to 47,526 and 104,124 is: 228,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526 : 104,124 = 104,124 : x
  2. Step 2: Convert to fraction form
    47,526/104,124 = 104,124/x
  3. Step 3: Cross multiply
    47,526x = 104,124 × 104,124
  4. Step 4: Simplify right side
    47,526x = 10,841,807,376
  5. Step 5: Solve for x
    x = 10,841,807,376/47,526
  6. Step 6: Final answer
    x = 228,123.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.