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Finding the Third Proportional to 77,613.75 and 167,685

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Solution

The third proportional to 77,613.75 and 167,685 is: 362,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613.75 : 167,685 = 167,685 : x
  2. Step 2: Convert to fraction form
    77,613.75/167,685 = 167,685/x
  3. Step 3: Cross multiply
    77,613.75x = 167,685 × 167,685
  4. Step 4: Simplify right side
    77,613.75x = 28,118,259,225
  5. Step 5: Solve for x
    x = 28,118,259,225/77,613.75
  6. Step 6: Final answer
    x = 362,284.51

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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.