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Finding the Third Proportional to 72,317 and 155,735

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Solution

The third proportional to 72,317 and 155,735 is: 335,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,317 : 155,735 = 155,735 : x
  2. Step 2: Convert to fraction form
    72,317/155,735 = 155,735/x
  3. Step 3: Cross multiply
    72,317x = 155,735 × 155,735
  4. Step 4: Simplify right side
    72,317x = 24,253,390,225
  5. Step 5: Solve for x
    x = 24,253,390,225/72,317
  6. Step 6: Final answer
    x = 335,376.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.