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Finding the Third Proportional to 47,629 and 106,535

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Solution

The third proportional to 47,629 and 106,535 is: 238,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629 : 106,535 = 106,535 : x
  2. Step 2: Convert to fraction form
    47,629/106,535 = 106,535/x
  3. Step 3: Cross multiply
    47,629x = 106,535 × 106,535
  4. Step 4: Simplify right side
    47,629x = 11,349,706,225
  5. Step 5: Solve for x
    x = 11,349,706,225/47,629
  6. Step 6: Final answer
    x = 238,294.03

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.