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Finding the Third Proportional to 114,901.88 and 171,657.56

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Solution

The third proportional to 114,901.88 and 171,657.56 is: 256,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901.88 : 171,657.56 = 171,657.56 : x
  2. Step 2: Convert to fraction form
    114,901.88/171,657.56 = 171,657.56/x
  3. Step 3: Cross multiply
    114,901.88x = 171,657.56 × 171,657.56
  4. Step 4: Simplify right side
    114,901.88x = 29,466,318,763.44
  5. Step 5: Solve for x
    x = 29,466,318,763.44/114,901.88
  6. Step 6: Final answer
    x = 256,447.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.