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Finding the Third Proportional to 107,302.50 and 159,684.75

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Solution

The third proportional to 107,302.50 and 159,684.75 is: 237,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.50 : 159,684.75 = 159,684.75 : x
  2. Step 2: Convert to fraction form
    107,302.50/159,684.75 = 159,684.75/x
  3. Step 3: Cross multiply
    107,302.50x = 159,684.75 × 159,684.75
  4. Step 4: Simplify right side
    107,302.50x = 25,499,219,382.56
  5. Step 5: Solve for x
    x = 25,499,219,382.56/107,302.50
  6. Step 6: Final answer
    x = 237,638.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.