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Finding the Third Proportional to 101,209.50 and 163,660.50

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Solution

The third proportional to 101,209.50 and 163,660.50 is: 264,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,209.50 : 163,660.50 = 163,660.50 : x
  2. Step 2: Convert to fraction form
    101,209.50/163,660.50 = 163,660.50/x
  3. Step 3: Cross multiply
    101,209.50x = 163,660.50 × 163,660.50
  4. Step 4: Simplify right side
    101,209.50x = 26,784,759,260.25
  5. Step 5: Solve for x
    x = 26,784,759,260.25/101,209.50
  6. Step 6: Final answer
    x = 264,646.69

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.