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Finding the Third Proportional to 124,713 and 237,944.25

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Solution

The third proportional to 124,713 and 237,944.25 is: 453,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,713 : 237,944.25 = 237,944.25 : x
  2. Step 2: Convert to fraction form
    124,713/237,944.25 = 237,944.25/x
  3. Step 3: Cross multiply
    124,713x = 237,944.25 × 237,944.25
  4. Step 4: Simplify right side
    124,713x = 56,617,466,108.06
  5. Step 5: Solve for x
    x = 56,617,466,108.06/124,713
  6. Step 6: Final answer
    x = 453,982.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.