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Finding the Third Proportional to 76,320 and 163,926

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Solution

The third proportional to 76,320 and 163,926 is: 352,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 163,926 = 163,926 : x
  2. Step 2: Convert to fraction form
    76,320/163,926 = 163,926/x
  3. Step 3: Cross multiply
    76,320x = 163,926 × 163,926
  4. Step 4: Simplify right side
    76,320x = 26,871,733,476
  5. Step 5: Solve for x
    x = 26,871,733,476/76,320
  6. Step 6: Final answer
    x = 352,092.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.