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Finding the Third Proportional to 67,926 and 103,347

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Solution

The third proportional to 67,926 and 103,347 is: 157,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926 : 103,347 = 103,347 : x
  2. Step 2: Convert to fraction form
    67,926/103,347 = 103,347/x
  3. Step 3: Cross multiply
    67,926x = 103,347 × 103,347
  4. Step 4: Simplify right side
    67,926x = 10,680,602,409
  5. Step 5: Solve for x
    x = 10,680,602,409/67,926
  6. Step 6: Final answer
    x = 157,238.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.