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Finding the Third Proportional to 47,502 and 101,644

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Solution

The third proportional to 47,502 and 101,644 is: 217,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 101,644 = 101,644 : x
  2. Step 2: Convert to fraction form
    47,502/101,644 = 101,644/x
  3. Step 3: Cross multiply
    47,502x = 101,644 × 101,644
  4. Step 4: Simplify right side
    47,502x = 10,331,502,736
  5. Step 5: Solve for x
    x = 10,331,502,736/47,502
  6. Step 6: Final answer
    x = 217,496.16

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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.