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Finding the Third Proportional to 73,894.78 and 113,010.19

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Solution

The third proportional to 73,894.78 and 113,010.19 is: 172,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,894.78 : 113,010.19 = 113,010.19 : x
  2. Step 2: Convert to fraction form
    73,894.78/113,010.19 = 113,010.19/x
  3. Step 3: Cross multiply
    73,894.78x = 113,010.19 × 113,010.19
  4. Step 4: Simplify right side
    73,894.78x = 12,771,302,478.79
  5. Step 5: Solve for x
    x = 12,771,302,478.79/73,894.78
  6. Step 6: Final answer
    x = 172,830.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.