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Finding the Third Proportional to 75,935 and 113,274

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Solution

The third proportional to 75,935 and 113,274 is: 168,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,935 : 113,274 = 113,274 : x
  2. Step 2: Convert to fraction form
    75,935/113,274 = 113,274/x
  3. Step 3: Cross multiply
    75,935x = 113,274 × 113,274
  4. Step 4: Simplify right side
    75,935x = 12,830,999,076
  5. Step 5: Solve for x
    x = 12,830,999,076/75,935
  6. Step 6: Final answer
    x = 168,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.