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Finding the Third Proportional to 112,567.85 and 171,172.62

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Solution

The third proportional to 112,567.85 and 171,172.62 is: 260,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,567.85 : 171,172.62 = 171,172.62 : x
  2. Step 2: Convert to fraction form
    112,567.85/171,172.62 = 171,172.62/x
  3. Step 3: Cross multiply
    112,567.85x = 171,172.62 × 171,172.62
  4. Step 4: Simplify right side
    112,567.85x = 29,300,064,874.82
  5. Step 5: Solve for x
    x = 29,300,064,874.82/112,567.85
  6. Step 6: Final answer
    x = 260,288.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.