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Finding the Third Proportional to 69,785.25 and 99,675.75

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Solution

The third proportional to 69,785.25 and 99,675.75 is: 142,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,785.25 : 99,675.75 = 99,675.75 : x
  2. Step 2: Convert to fraction form
    69,785.25/99,675.75 = 99,675.75/x
  3. Step 3: Cross multiply
    69,785.25x = 99,675.75 × 99,675.75
  4. Step 4: Simplify right side
    69,785.25x = 9,935,255,138.06
  5. Step 5: Solve for x
    x = 9,935,255,138.06/69,785.25
  6. Step 6: Final answer
    x = 142,368.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.