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Finding the Third Proportional to 47,776 and 102,248

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Solution

The third proportional to 47,776 and 102,248 is: 218,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776 : 102,248 = 102,248 : x
  2. Step 2: Convert to fraction form
    47,776/102,248 = 102,248/x
  3. Step 3: Cross multiply
    47,776x = 102,248 × 102,248
  4. Step 4: Simplify right side
    47,776x = 10,454,653,504
  5. Step 5: Solve for x
    x = 10,454,653,504/47,776
  6. Step 6: Final answer
    x = 218,826.47

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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.