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Finding the Third Proportional to 124,024.50 and 271,695

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Solution

The third proportional to 124,024.50 and 271,695 is: 595,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,024.50 : 271,695 = 271,695 : x
  2. Step 2: Convert to fraction form
    124,024.50/271,695 = 271,695/x
  3. Step 3: Cross multiply
    124,024.50x = 271,695 × 271,695
  4. Step 4: Simplify right side
    124,024.50x = 73,818,173,025
  5. Step 5: Solve for x
    x = 73,818,173,025/124,024.50
  6. Step 6: Final answer
    x = 595,190.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.