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Finding the Third Proportional to 115,087.50 and 175,034.25

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Solution

The third proportional to 115,087.50 and 175,034.25 is: 266,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,087.50 : 175,034.25 = 175,034.25 : x
  2. Step 2: Convert to fraction form
    115,087.50/175,034.25 = 175,034.25/x
  3. Step 3: Cross multiply
    115,087.50x = 175,034.25 × 175,034.25
  4. Step 4: Simplify right side
    115,087.50x = 30,636,988,673.06
  5. Step 5: Solve for x
    x = 30,636,988,673.06/115,087.50
  6. Step 6: Final answer
    x = 266,206.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.