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Finding the Third Proportional to 96,829 and 133,339.50

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Solution

The third proportional to 96,829 and 133,339.50 is: 183,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,829 : 133,339.50 = 133,339.50 : x
  2. Step 2: Convert to fraction form
    96,829/133,339.50 = 133,339.50/x
  3. Step 3: Cross multiply
    96,829x = 133,339.50 × 133,339.50
  4. Step 4: Simplify right side
    96,829x = 17,779,422,260.25
  5. Step 5: Solve for x
    x = 17,779,422,260.25/96,829
  6. Step 6: Final answer
    x = 183,616.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.