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Finding the Third Proportional to 47,585 and 103,643

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Solution

The third proportional to 47,585 and 103,643 is: 225,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,585 : 103,643 = 103,643 : x
  2. Step 2: Convert to fraction form
    47,585/103,643 = 103,643/x
  3. Step 3: Cross multiply
    47,585x = 103,643 × 103,643
  4. Step 4: Simplify right side
    47,585x = 10,741,871,449
  5. Step 5: Solve for x
    x = 10,741,871,449/47,585
  6. Step 6: Final answer
    x = 225,740.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.