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Finding the Third Proportional to 116,128.50 and 175,797

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Solution

The third proportional to 116,128.50 and 175,797 is: 266,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,128.50 : 175,797 = 175,797 : x
  2. Step 2: Convert to fraction form
    116,128.50/175,797 = 175,797/x
  3. Step 3: Cross multiply
    116,128.50x = 175,797 × 175,797
  4. Step 4: Simplify right side
    116,128.50x = 30,904,585,209
  5. Step 5: Solve for x
    x = 30,904,585,209/116,128.50
  6. Step 6: Final answer
    x = 266,124.04

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