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Finding the Third Proportional to 125,732.46 and 269,442.07

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Solution

The third proportional to 125,732.46 and 269,442.07 is: 577,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,732.46 : 269,442.07 = 269,442.07 : x
  2. Step 2: Convert to fraction form
    125,732.46/269,442.07 = 269,442.07/x
  3. Step 3: Cross multiply
    125,732.46x = 269,442.07 × 269,442.07
  4. Step 4: Simplify right side
    125,732.46x = 72,599,029,254.29
  5. Step 5: Solve for x
    x = 72,599,029,254.29/125,732.46
  6. Step 6: Final answer
    x = 577,408.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.