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Finding the Third Proportional to 72,004.50 and 155,497.50

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Solution

The third proportional to 72,004.50 and 155,497.50 is: 335,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004.50 : 155,497.50 = 155,497.50 : x
  2. Step 2: Convert to fraction form
    72,004.50/155,497.50 = 155,497.50/x
  3. Step 3: Cross multiply
    72,004.50x = 155,497.50 × 155,497.50
  4. Step 4: Simplify right side
    72,004.50x = 24,179,472,506.25
  5. Step 5: Solve for x
    x = 24,179,472,506.25/72,004.50
  6. Step 6: Final answer
    x = 335,805.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.