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Finding the Third Proportional to 125,451 and 269,094

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Solution

The third proportional to 125,451 and 269,094 is: 577,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,451 : 269,094 = 269,094 : x
  2. Step 2: Convert to fraction form
    125,451/269,094 = 269,094/x
  3. Step 3: Cross multiply
    125,451x = 269,094 × 269,094
  4. Step 4: Simplify right side
    125,451x = 72,411,580,836
  5. Step 5: Solve for x
    x = 72,411,580,836/125,451
  6. Step 6: Final answer
    x = 577,210.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.