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Finding the Third Proportional to 94,129.78 and 143,401.97

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Solution

The third proportional to 94,129.78 and 143,401.97 is: 218,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,129.78 : 143,401.97 = 143,401.97 : x
  2. Step 2: Convert to fraction form
    94,129.78/143,401.97 = 143,401.97/x
  3. Step 3: Cross multiply
    94,129.78x = 143,401.97 × 143,401.97
  4. Step 4: Simplify right side
    94,129.78x = 20,564,124,641.38
  5. Step 5: Solve for x
    x = 20,564,124,641.38/94,129.78
  6. Step 6: Final answer
    x = 218,465.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.