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Finding the Third Proportional to 112,569.75 and 171,175.50

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Solution

The third proportional to 112,569.75 and 171,175.50 is: 260,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,569.75 : 171,175.50 = 171,175.50 : x
  2. Step 2: Convert to fraction form
    112,569.75/171,175.50 = 171,175.50/x
  3. Step 3: Cross multiply
    112,569.75x = 171,175.50 × 171,175.50
  4. Step 4: Simplify right side
    112,569.75x = 29,301,051,800.25
  5. Step 5: Solve for x
    x = 29,301,051,800.25/112,569.75
  6. Step 6: Final answer
    x = 260,292.41

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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.