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Finding the Third Proportional to 47,730 and 103,661

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Solution

The third proportional to 47,730 and 103,661 is: 225,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730 : 103,661 = 103,661 : x
  2. Step 2: Convert to fraction form
    47,730/103,661 = 103,661/x
  3. Step 3: Cross multiply
    47,730x = 103,661 × 103,661
  4. Step 4: Simplify right side
    47,730x = 10,745,602,921
  5. Step 5: Solve for x
    x = 10,745,602,921/47,730
  6. Step 6: Final answer
    x = 225,133.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.