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Finding the Third Proportional to 125,121 and 260,596.50

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Solution

The third proportional to 125,121 and 260,596.50 is: 542,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,121 : 260,596.50 = 260,596.50 : x
  2. Step 2: Convert to fraction form
    125,121/260,596.50 = 260,596.50/x
  3. Step 3: Cross multiply
    125,121x = 260,596.50 × 260,596.50
  4. Step 4: Simplify right side
    125,121x = 67,910,535,812.25
  5. Step 5: Solve for x
    x = 67,910,535,812.25/125,121
  6. Step 6: Final answer
    x = 542,758.90

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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.