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Finding the Third Proportional to 69,882 and 98,785.50

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Solution

The third proportional to 69,882 and 98,785.50 is: 139,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882 : 98,785.50 = 98,785.50 : x
  2. Step 2: Convert to fraction form
    69,882/98,785.50 = 98,785.50/x
  3. Step 3: Cross multiply
    69,882x = 98,785.50 × 98,785.50
  4. Step 4: Simplify right side
    69,882x = 9,758,575,010.25
  5. Step 5: Solve for x
    x = 9,758,575,010.25/69,882
  6. Step 6: Final answer
    x = 139,643.61

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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.