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Finding the Third Proportional to 96,129 and 143,397

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Solution

The third proportional to 96,129 and 143,397 is: 213,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,129 : 143,397 = 143,397 : x
  2. Step 2: Convert to fraction form
    96,129/143,397 = 143,397/x
  3. Step 3: Cross multiply
    96,129x = 143,397 × 143,397
  4. Step 4: Simplify right side
    96,129x = 20,562,699,609
  5. Step 5: Solve for x
    x = 20,562,699,609/96,129
  6. Step 6: Final answer
    x = 213,907.35

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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.