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Finding the Third Proportional to 47,421 and 101,605

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Solution

The third proportional to 47,421 and 101,605 is: 217,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,421 : 101,605 = 101,605 : x
  2. Step 2: Convert to fraction form
    47,421/101,605 = 101,605/x
  3. Step 3: Cross multiply
    47,421x = 101,605 × 101,605
  4. Step 4: Simplify right side
    47,421x = 10,323,576,025
  5. Step 5: Solve for x
    x = 10,323,576,025/47,421
  6. Step 6: Final answer
    x = 217,700.51

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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.