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Finding the Third Proportional to 35,157 and 75,838

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Solution

The third proportional to 35,157 and 75,838 is: 163,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,157 : 75,838 = 75,838 : x
  2. Step 2: Convert to fraction form
    35,157/75,838 = 75,838/x
  3. Step 3: Cross multiply
    35,157x = 75,838 × 75,838
  4. Step 4: Simplify right side
    35,157x = 5,751,402,244
  5. Step 5: Solve for x
    x = 5,751,402,244/35,157
  6. Step 6: Final answer
    x = 163,591.95

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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.