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Finding the Third Proportional to 102,176.44 and 132,657.75

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Solution

The third proportional to 102,176.44 and 132,657.75 is: 172,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,176.44 : 132,657.75 = 132,657.75 : x
  2. Step 2: Convert to fraction form
    102,176.44/132,657.75 = 132,657.75/x
  3. Step 3: Cross multiply
    102,176.44x = 132,657.75 × 132,657.75
  4. Step 4: Simplify right side
    102,176.44x = 17,598,078,635.06
  5. Step 5: Solve for x
    x = 17,598,078,635.06/102,176.44
  6. Step 6: Final answer
    x = 172,232.26

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.