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Finding the Third Proportional to 78,472 and 100,756

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Solution

The third proportional to 78,472 and 100,756 is: 129,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472 : 100,756 = 100,756 : x
  2. Step 2: Convert to fraction form
    78,472/100,756 = 100,756/x
  3. Step 3: Cross multiply
    78,472x = 100,756 × 100,756
  4. Step 4: Simplify right side
    78,472x = 10,151,771,536
  5. Step 5: Solve for x
    x = 10,151,771,536/78,472
  6. Step 6: Final answer
    x = 129,368.07

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.