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Finding the Third Proportional to 124,213.50 and 268,096.50

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Solution

The third proportional to 124,213.50 and 268,096.50 is: 578,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213.50 : 268,096.50 = 268,096.50 : x
  2. Step 2: Convert to fraction form
    124,213.50/268,096.50 = 268,096.50/x
  3. Step 3: Cross multiply
    124,213.50x = 268,096.50 × 268,096.50
  4. Step 4: Simplify right side
    124,213.50x = 71,875,733,312.25
  5. Step 5: Solve for x
    x = 71,875,733,312.25/124,213.50
  6. Step 6: Final answer
    x = 578,646.71

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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.