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Finding the Third Proportional to 69,876.75 and 98,780.63

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Solution

The third proportional to 69,876.75 and 98,780.63 is: 139,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.75 : 98,780.63 = 98,780.63 : x
  2. Step 2: Convert to fraction form
    69,876.75/98,780.63 = 98,780.63/x
  3. Step 3: Cross multiply
    69,876.75x = 98,780.63 × 98,780.63
  4. Step 4: Simplify right side
    69,876.75x = 9,757,611,875.39
  5. Step 5: Solve for x
    x = 9,757,611,875.39/69,876.75
  6. Step 6: Final answer
    x = 139,640.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.