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Finding the Third Proportional to 69,877.88 and 98,782.13

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Solution

The third proportional to 69,877.88 and 98,782.13 is: 139,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,877.88 : 98,782.13 = 98,782.13 : x
  2. Step 2: Convert to fraction form
    69,877.88/98,782.13 = 98,782.13/x
  3. Step 3: Cross multiply
    69,877.88x = 98,782.13 × 98,782.13
  4. Step 4: Simplify right side
    69,877.88x = 9,757,908,219.52
  5. Step 5: Solve for x
    x = 9,757,908,219.52/69,877.88
  6. Step 6: Final answer
    x = 139,642.31

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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.