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Finding the Third Proportional to 96,192 and 143,749.13

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Solution

The third proportional to 96,192 and 143,749.13 is: 214,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,192 : 143,749.13 = 143,749.13 : x
  2. Step 2: Convert to fraction form
    96,192/143,749.13 = 143,749.13/x
  3. Step 3: Cross multiply
    96,192x = 143,749.13 × 143,749.13
  4. Step 4: Simplify right side
    96,192x = 20,663,810,938.27
  5. Step 5: Solve for x
    x = 20,663,810,938.27/96,192
  6. Step 6: Final answer
    x = 214,818.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.