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Finding the Third Proportional to 102,151.13 and 134,880.19

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Solution

The third proportional to 102,151.13 and 134,880.19 is: 178,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151.13 : 134,880.19 = 134,880.19 : x
  2. Step 2: Convert to fraction form
    102,151.13/134,880.19 = 134,880.19/x
  3. Step 3: Cross multiply
    102,151.13x = 134,880.19 × 134,880.19
  4. Step 4: Simplify right side
    102,151.13x = 18,192,664,980.04
  5. Step 5: Solve for x
    x = 18,192,664,980.04/102,151.13
  6. Step 6: Final answer
    x = 178,095.59

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.