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Finding the Third Proportional to 123,159.38 and 266,559.75

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Solution

The third proportional to 123,159.38 and 266,559.75 is: 576,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.38 : 266,559.75 = 266,559.75 : x
  2. Step 2: Convert to fraction form
    123,159.38/266,559.75 = 266,559.75/x
  3. Step 3: Cross multiply
    123,159.38x = 266,559.75 × 266,559.75
  4. Step 4: Simplify right side
    123,159.38x = 71,054,100,320.06
  5. Step 5: Solve for x
    x = 71,054,100,320.06/123,159.38
  6. Step 6: Final answer
    x = 576,928.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.