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Finding the Third Proportional to 125,332 and 260,993

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Solution

The third proportional to 125,332 and 260,993 is: 543,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,332 : 260,993 = 260,993 : x
  2. Step 2: Convert to fraction form
    125,332/260,993 = 260,993/x
  3. Step 3: Cross multiply
    125,332x = 260,993 × 260,993
  4. Step 4: Simplify right side
    125,332x = 68,117,346,049
  5. Step 5: Solve for x
    x = 68,117,346,049/125,332
  6. Step 6: Final answer
    x = 543,495.25

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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.