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Finding the Third Proportional to 116,507 and 159,168

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Solution

The third proportional to 116,507 and 159,168 is: 217,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,507 : 159,168 = 159,168 : x
  2. Step 2: Convert to fraction form
    116,507/159,168 = 159,168/x
  3. Step 3: Cross multiply
    116,507x = 159,168 × 159,168
  4. Step 4: Simplify right side
    116,507x = 25,334,452,224
  5. Step 5: Solve for x
    x = 25,334,452,224/116,507
  6. Step 6: Final answer
    x = 217,450.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.