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Finding the Third Proportional to 47,088 and 103,482

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Solution

The third proportional to 47,088 and 103,482 is: 227,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,088 : 103,482 = 103,482 : x
  2. Step 2: Convert to fraction form
    47,088/103,482 = 103,482/x
  3. Step 3: Cross multiply
    47,088x = 103,482 × 103,482
  4. Step 4: Simplify right side
    47,088x = 10,708,524,324
  5. Step 5: Solve for x
    x = 10,708,524,324/47,088
  6. Step 6: Final answer
    x = 227,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.