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Finding the Third Proportional to 66,932 and 98,164

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Solution

The third proportional to 66,932 and 98,164 is: 143,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,932 : 98,164 = 98,164 : x
  2. Step 2: Convert to fraction form
    66,932/98,164 = 98,164/x
  3. Step 3: Cross multiply
    66,932x = 98,164 × 98,164
  4. Step 4: Simplify right side
    66,932x = 9,636,170,896
  5. Step 5: Solve for x
    x = 9,636,170,896/66,932
  6. Step 6: Final answer
    x = 143,969.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.