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Finding the Third Proportional to 125,015.50 and 269,714

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Solution

The third proportional to 125,015.50 and 269,714 is: 581,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,015.50 : 269,714 = 269,714 : x
  2. Step 2: Convert to fraction form
    125,015.50/269,714 = 269,714/x
  3. Step 3: Cross multiply
    125,015.50x = 269,714 × 269,714
  4. Step 4: Simplify right side
    125,015.50x = 72,745,641,796
  5. Step 5: Solve for x
    x = 72,745,641,796/125,015.50
  6. Step 6: Final answer
    x = 581,892.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.