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Finding the Third Proportional to 53,320 and 123,437

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Solution

The third proportional to 53,320 and 123,437 is: 285,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,320 : 123,437 = 123,437 : x
  2. Step 2: Convert to fraction form
    53,320/123,437 = 123,437/x
  3. Step 3: Cross multiply
    53,320x = 123,437 × 123,437
  4. Step 4: Simplify right side
    53,320x = 15,236,692,969
  5. Step 5: Solve for x
    x = 15,236,692,969/53,320
  6. Step 6: Final answer
    x = 285,759.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.