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Finding the Third Proportional to 47,017 and 102,607

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Solution

The third proportional to 47,017 and 102,607 is: 223,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,017 : 102,607 = 102,607 : x
  2. Step 2: Convert to fraction form
    47,017/102,607 = 102,607/x
  3. Step 3: Cross multiply
    47,017x = 102,607 × 102,607
  4. Step 4: Simplify right side
    47,017x = 10,528,196,449
  5. Step 5: Solve for x
    x = 10,528,196,449/47,017
  6. Step 6: Final answer
    x = 223,923.19

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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.