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Finding the Third Proportional to 30,172.50 and 61,175.25

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Solution

The third proportional to 30,172.50 and 61,175.25 is: 124,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 61,175.25 = 61,175.25 : x
  2. Step 2: Convert to fraction form
    30,172.50/61,175.25 = 61,175.25/x
  3. Step 3: Cross multiply
    30,172.50x = 61,175.25 × 61,175.25
  4. Step 4: Simplify right side
    30,172.50x = 3,742,411,212.56
  5. Step 5: Solve for x
    x = 3,742,411,212.56/30,172.50
  6. Step 6: Final answer
    x = 124,033.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.