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Finding the Third Proportional to 102,925.69 and 159,628.22

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Solution

The third proportional to 102,925.69 and 159,628.22 is: 247,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.69 : 159,628.22 = 159,628.22 : x
  2. Step 2: Convert to fraction form
    102,925.69/159,628.22 = 159,628.22/x
  3. Step 3: Cross multiply
    102,925.69x = 159,628.22 × 159,628.22
  4. Step 4: Simplify right side
    102,925.69x = 25,481,168,221.30
  5. Step 5: Solve for x
    x = 25,481,168,221.30/102,925.69
  6. Step 6: Final answer
    x = 247,568.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.