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Finding the Third Proportional to 126,209 and 268,000.50

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Solution

The third proportional to 126,209 and 268,000.50 is: 569,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,209 : 268,000.50 = 268,000.50 : x
  2. Step 2: Convert to fraction form
    126,209/268,000.50 = 268,000.50/x
  3. Step 3: Cross multiply
    126,209x = 268,000.50 × 268,000.50
  4. Step 4: Simplify right side
    126,209x = 71,824,268,000.25
  5. Step 5: Solve for x
    x = 71,824,268,000.25/126,209
  6. Step 6: Final answer
    x = 569,089.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.