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Finding the Third Proportional to 133,041 and 210,641

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Solution

The third proportional to 133,041 and 210,641 is: 333,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 210,641 = 210,641 : x
  2. Step 2: Convert to fraction form
    133,041/210,641 = 210,641/x
  3. Step 3: Cross multiply
    133,041x = 210,641 × 210,641
  4. Step 4: Simplify right side
    133,041x = 44,369,630,881
  5. Step 5: Solve for x
    x = 44,369,630,881/133,041
  6. Step 6: Final answer
    x = 333,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.