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Finding the Third Proportional to 57,313.50 and 124,473

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Solution

The third proportional to 57,313.50 and 124,473 is: 270,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313.50 : 124,473 = 124,473 : x
  2. Step 2: Convert to fraction form
    57,313.50/124,473 = 124,473/x
  3. Step 3: Cross multiply
    57,313.50x = 124,473 × 124,473
  4. Step 4: Simplify right side
    57,313.50x = 15,493,527,729
  5. Step 5: Solve for x
    x = 15,493,527,729/57,313.50
  6. Step 6: Final answer
    x = 270,329.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.