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Finding the Third Proportional to 126,231 and 272,143.50

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Solution

The third proportional to 126,231 and 272,143.50 is: 586,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,231 : 272,143.50 = 272,143.50 : x
  2. Step 2: Convert to fraction form
    126,231/272,143.50 = 272,143.50/x
  3. Step 3: Cross multiply
    126,231x = 272,143.50 × 272,143.50
  4. Step 4: Simplify right side
    126,231x = 74,062,084,592.25
  5. Step 5: Solve for x
    x = 74,062,084,592.25/126,231
  6. Step 6: Final answer
    x = 586,718.67

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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.