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Finding the Third Proportional to 98,551.69 and 106,752.94

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Solution

The third proportional to 98,551.69 and 106,752.94 is: 115,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,551.69 : 106,752.94 = 106,752.94 : x
  2. Step 2: Convert to fraction form
    98,551.69/106,752.94 = 106,752.94/x
  3. Step 3: Cross multiply
    98,551.69x = 106,752.94 × 106,752.94
  4. Step 4: Simplify right side
    98,551.69x = 11,396,189,664.88
  5. Step 5: Solve for x
    x = 11,396,189,664.88/98,551.69
  6. Step 6: Final answer
    x = 115,636.68

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.