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Finding the Third Proportional to 125,360 and 261,088

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Solution

The third proportional to 125,360 and 261,088 is: 543,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,360 : 261,088 = 261,088 : x
  2. Step 2: Convert to fraction form
    125,360/261,088 = 261,088/x
  3. Step 3: Cross multiply
    125,360x = 261,088 × 261,088
  4. Step 4: Simplify right side
    125,360x = 68,166,943,744
  5. Step 5: Solve for x
    x = 68,166,943,744/125,360
  6. Step 6: Final answer
    x = 543,769.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.