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Finding the Third Proportional to 66,172 and 145,448

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Solution

The third proportional to 66,172 and 145,448 is: 319,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,172 : 145,448 = 145,448 : x
  2. Step 2: Convert to fraction form
    66,172/145,448 = 145,448/x
  3. Step 3: Cross multiply
    66,172x = 145,448 × 145,448
  4. Step 4: Simplify right side
    66,172x = 21,155,120,704
  5. Step 5: Solve for x
    x = 21,155,120,704/66,172
  6. Step 6: Final answer
    x = 319,698.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.