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Finding the Third Proportional to 107,324 and 159,716

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Solution

The third proportional to 107,324 and 159,716 is: 237,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,324 : 159,716 = 159,716 : x
  2. Step 2: Convert to fraction form
    107,324/159,716 = 159,716/x
  3. Step 3: Cross multiply
    107,324x = 159,716 × 159,716
  4. Step 4: Simplify right side
    107,324x = 25,509,200,656
  5. Step 5: Solve for x
    x = 25,509,200,656/107,324
  6. Step 6: Final answer
    x = 237,684.03

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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.