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Finding the Third Proportional to 49,279.50 and 77,215.50

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Solution

The third proportional to 49,279.50 and 77,215.50 is: 120,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,279.50 : 77,215.50 = 77,215.50 : x
  2. Step 2: Convert to fraction form
    49,279.50/77,215.50 = 77,215.50/x
  3. Step 3: Cross multiply
    49,279.50x = 77,215.50 × 77,215.50
  4. Step 4: Simplify right side
    49,279.50x = 5,962,233,440.25
  5. Step 5: Solve for x
    x = 5,962,233,440.25/49,279.50
  6. Step 6: Final answer
    x = 120,988.11

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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.