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Finding the Third Proportional to 72,312.75 and 155,724.19

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Solution

The third proportional to 72,312.75 and 155,724.19 is: 335,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,312.75 : 155,724.19 = 155,724.19 : x
  2. Step 2: Convert to fraction form
    72,312.75/155,724.19 = 155,724.19/x
  3. Step 3: Cross multiply
    72,312.75x = 155,724.19 × 155,724.19
  4. Step 4: Simplify right side
    72,312.75x = 24,250,022,572.54
  5. Step 5: Solve for x
    x = 24,250,022,572.54/72,312.75
  6. Step 6: Final answer
    x = 335,349.20

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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.