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Finding the Third Proportional to 72,960.75 and 109,684.13

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Solution

The third proportional to 72,960.75 and 109,684.13 is: 164,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960.75 : 109,684.13 = 109,684.13 : x
  2. Step 2: Convert to fraction form
    72,960.75/109,684.13 = 109,684.13/x
  3. Step 3: Cross multiply
    72,960.75x = 109,684.13 × 109,684.13
  4. Step 4: Simplify right side
    72,960.75x = 12,030,607,277.02
  5. Step 5: Solve for x
    x = 12,030,607,277.02/72,960.75
  6. Step 6: Final answer
    x = 164,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.