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Finding the Third Proportional to 102,748.50 and 159,009.75

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Solution

The third proportional to 102,748.50 and 159,009.75 is: 246,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,748.50 : 159,009.75 = 159,009.75 : x
  2. Step 2: Convert to fraction form
    102,748.50/159,009.75 = 159,009.75/x
  3. Step 3: Cross multiply
    102,748.50x = 159,009.75 × 159,009.75
  4. Step 4: Simplify right side
    102,748.50x = 25,284,100,595.06
  5. Step 5: Solve for x
    x = 25,284,100,595.06/102,748.50
  6. Step 6: Final answer
    x = 246,077.56

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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.