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Finding the Third Proportional to 102,606.75 and 172,362.94

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Solution

The third proportional to 102,606.75 and 172,362.94 is: 289,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.75 : 172,362.94 = 172,362.94 : x
  2. Step 2: Convert to fraction form
    102,606.75/172,362.94 = 172,362.94/x
  3. Step 3: Cross multiply
    102,606.75x = 172,362.94 × 172,362.94
  4. Step 4: Simplify right side
    102,606.75x = 29,708,982,223.63
  5. Step 5: Solve for x
    x = 29,708,982,223.63/102,606.75
  6. Step 6: Final answer
    x = 289,542.18

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.