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Finding the Third Proportional to 125,933 and 272,168

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Solution

The third proportional to 125,933 and 272,168 is: 588,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,933 : 272,168 = 272,168 : x
  2. Step 2: Convert to fraction form
    125,933/272,168 = 272,168/x
  3. Step 3: Cross multiply
    125,933x = 272,168 × 272,168
  4. Step 4: Simplify right side
    125,933x = 74,075,420,224
  5. Step 5: Solve for x
    x = 74,075,420,224/125,933
  6. Step 6: Final answer
    x = 588,212.94

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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.