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Finding the Third Proportional to 125,026 and 244,340

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Solution

The third proportional to 125,026 and 244,340 is: 477,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,026 : 244,340 = 244,340 : x
  2. Step 2: Convert to fraction form
    125,026/244,340 = 244,340/x
  3. Step 3: Cross multiply
    125,026x = 244,340 × 244,340
  4. Step 4: Simplify right side
    125,026x = 59,702,035,600
  5. Step 5: Solve for x
    x = 59,702,035,600/125,026
  6. Step 6: Final answer
    x = 477,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.