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Finding the Third Proportional to 129,068.50 and 189,369.50

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Solution

The third proportional to 129,068.50 and 189,369.50 is: 277,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,068.50 : 189,369.50 = 189,369.50 : x
  2. Step 2: Convert to fraction form
    129,068.50/189,369.50 = 189,369.50/x
  3. Step 3: Cross multiply
    129,068.50x = 189,369.50 × 189,369.50
  4. Step 4: Simplify right side
    129,068.50x = 35,860,807,530.25
  5. Step 5: Solve for x
    x = 35,860,807,530.25/129,068.50
  6. Step 6: Final answer
    x = 277,843.22

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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.