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Finding the Third Proportional to 71,901.75 and 155,072.25

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Solution

The third proportional to 71,901.75 and 155,072.25 is: 334,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.75 : 155,072.25 = 155,072.25 : x
  2. Step 2: Convert to fraction form
    71,901.75/155,072.25 = 155,072.25/x
  3. Step 3: Cross multiply
    71,901.75x = 155,072.25 × 155,072.25
  4. Step 4: Simplify right side
    71,901.75x = 24,047,402,720.06
  5. Step 5: Solve for x
    x = 24,047,402,720.06/71,901.75
  6. Step 6: Final answer
    x = 334,448.09

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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.