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Finding the Third Proportional to 129,141 and 173,208.38

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Solution

The third proportional to 129,141 and 173,208.38 is: 232,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141 : 173,208.38 = 173,208.38 : x
  2. Step 2: Convert to fraction form
    129,141/173,208.38 = 173,208.38/x
  3. Step 3: Cross multiply
    129,141x = 173,208.38 × 173,208.38
  4. Step 4: Simplify right side
    129,141x = 30,001,141,170.14
  5. Step 5: Solve for x
    x = 30,001,141,170.14/129,141
  6. Step 6: Final answer
    x = 232,313.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.