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Finding the Third Proportional to 71,884 and 154,998

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Solution

The third proportional to 71,884 and 154,998 is: 334,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,884 : 154,998 = 154,998 : x
  2. Step 2: Convert to fraction form
    71,884/154,998 = 154,998/x
  3. Step 3: Cross multiply
    71,884x = 154,998 × 154,998
  4. Step 4: Simplify right side
    71,884x = 24,024,380,004
  5. Step 5: Solve for x
    x = 24,024,380,004/71,884
  6. Step 6: Final answer
    x = 334,210.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.