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Finding the Third Proportional to 114,382.50 and 172,474

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Solution

The third proportional to 114,382.50 and 172,474 is: 260,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,382.50 : 172,474 = 172,474 : x
  2. Step 2: Convert to fraction form
    114,382.50/172,474 = 172,474/x
  3. Step 3: Cross multiply
    114,382.50x = 172,474 × 172,474
  4. Step 4: Simplify right side
    114,382.50x = 29,747,280,676
  5. Step 5: Solve for x
    x = 29,747,280,676/114,382.50
  6. Step 6: Final answer
    x = 260,068.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.