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Finding the Third Proportional to 68,532 and 103,164

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Solution

The third proportional to 68,532 and 103,164 is: 155,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532 : 103,164 = 103,164 : x
  2. Step 2: Convert to fraction form
    68,532/103,164 = 103,164/x
  3. Step 3: Cross multiply
    68,532x = 103,164 × 103,164
  4. Step 4: Simplify right side
    68,532x = 10,642,810,896
  5. Step 5: Solve for x
    x = 10,642,810,896/68,532
  6. Step 6: Final answer
    x = 155,296.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.