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Finding the Third Proportional to 71,317 and 154,526

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Solution

The third proportional to 71,317 and 154,526 is: 334,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317 : 154,526 = 154,526 : x
  2. Step 2: Convert to fraction form
    71,317/154,526 = 154,526/x
  3. Step 3: Cross multiply
    71,317x = 154,526 × 154,526
  4. Step 4: Simplify right side
    71,317x = 23,878,284,676
  5. Step 5: Solve for x
    x = 23,878,284,676/71,317
  6. Step 6: Final answer
    x = 334,818.97

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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.