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Finding the Third Proportional to 125,028.50 and 178,663

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Solution

The third proportional to 125,028.50 and 178,663 is: 255,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,028.50 : 178,663 = 178,663 : x
  2. Step 2: Convert to fraction form
    125,028.50/178,663 = 178,663/x
  3. Step 3: Cross multiply
    125,028.50x = 178,663 × 178,663
  4. Step 4: Simplify right side
    125,028.50x = 31,920,467,569
  5. Step 5: Solve for x
    x = 31,920,467,569/125,028.50
  6. Step 6: Final answer
    x = 255,305.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.