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Finding the Third Proportional to 133,884 and 291,102

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Solution

The third proportional to 133,884 and 291,102 is: 632,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,884 : 291,102 = 291,102 : x
  2. Step 2: Convert to fraction form
    133,884/291,102 = 291,102/x
  3. Step 3: Cross multiply
    133,884x = 291,102 × 291,102
  4. Step 4: Simplify right side
    133,884x = 84,740,374,404
  5. Step 5: Solve for x
    x = 84,740,374,404/133,884
  6. Step 6: Final answer
    x = 632,938.77

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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.