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Finding the Third Proportional to 75,382 and 158,516

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Solution

The third proportional to 75,382 and 158,516 is: 333,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,382 : 158,516 = 158,516 : x
  2. Step 2: Convert to fraction form
    75,382/158,516 = 158,516/x
  3. Step 3: Cross multiply
    75,382x = 158,516 × 158,516
  4. Step 4: Simplify right side
    75,382x = 25,127,322,256
  5. Step 5: Solve for x
    x = 25,127,322,256/75,382
  6. Step 6: Final answer
    x = 333,333.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.