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Finding the Third Proportional to 75,573 and 112,964.63

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Solution

The third proportional to 75,573 and 112,964.63 is: 168,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573 : 112,964.63 = 112,964.63 : x
  2. Step 2: Convert to fraction form
    75,573/112,964.63 = 112,964.63/x
  3. Step 3: Cross multiply
    75,573x = 112,964.63 × 112,964.63
  4. Step 4: Simplify right side
    75,573x = 12,761,006,501.39
  5. Step 5: Solve for x
    x = 12,761,006,501.39/75,573
  6. Step 6: Final answer
    x = 168,856.69

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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.