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Finding the Third Proportional to 125,169 and 260,697

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Solution

The third proportional to 125,169 and 260,697 is: 542,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,169 : 260,697 = 260,697 : x
  2. Step 2: Convert to fraction form
    125,169/260,697 = 260,697/x
  3. Step 3: Cross multiply
    125,169x = 260,697 × 260,697
  4. Step 4: Simplify right side
    125,169x = 67,962,925,809
  5. Step 5: Solve for x
    x = 67,962,925,809/125,169
  6. Step 6: Final answer
    x = 542,969.31

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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.