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Finding the Third Proportional to 125,025 and 260,414

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Solution

The third proportional to 125,025 and 260,414 is: 542,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,025 : 260,414 = 260,414 : x
  2. Step 2: Convert to fraction form
    125,025/260,414 = 260,414/x
  3. Step 3: Cross multiply
    125,025x = 260,414 × 260,414
  4. Step 4: Simplify right side
    125,025x = 67,815,451,396
  5. Step 5: Solve for x
    x = 67,815,451,396/125,025
  6. Step 6: Final answer
    x = 542,415.13

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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.