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Finding the Third Proportional to 56,320 and 123,483

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Solution

The third proportional to 56,320 and 123,483 is: 270,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320 : 123,483 = 123,483 : x
  2. Step 2: Convert to fraction form
    56,320/123,483 = 123,483/x
  3. Step 3: Cross multiply
    56,320x = 123,483 × 123,483
  4. Step 4: Simplify right side
    56,320x = 15,248,051,289
  5. Step 5: Solve for x
    x = 15,248,051,289/56,320
  6. Step 6: Final answer
    x = 270,739.55

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Why These Related Problems?

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