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Finding the Third Proportional to 75,568.50 and 112,293

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Solution

The third proportional to 75,568.50 and 112,293 is: 166,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.50 : 112,293 = 112,293 : x
  2. Step 2: Convert to fraction form
    75,568.50/112,293 = 112,293/x
  3. Step 3: Cross multiply
    75,568.50x = 112,293 × 112,293
  4. Step 4: Simplify right side
    75,568.50x = 12,609,717,849
  5. Step 5: Solve for x
    x = 12,609,717,849/75,568.50
  6. Step 6: Final answer
    x = 166,864.74

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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.