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Finding the Third Proportional to 71,936 and 112,608

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Solution

The third proportional to 71,936 and 112,608 is: 176,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,936 : 112,608 = 112,608 : x
  2. Step 2: Convert to fraction form
    71,936/112,608 = 112,608/x
  3. Step 3: Cross multiply
    71,936x = 112,608 × 112,608
  4. Step 4: Simplify right side
    71,936x = 12,680,561,664
  5. Step 5: Solve for x
    x = 12,680,561,664/71,936
  6. Step 6: Final answer
    x = 176,275.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.