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Finding the Third Proportional to 56,445 and 123,383

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Solution

The third proportional to 56,445 and 123,383 is: 269,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,445 : 123,383 = 123,383 : x
  2. Step 2: Convert to fraction form
    56,445/123,383 = 123,383/x
  3. Step 3: Cross multiply
    56,445x = 123,383 × 123,383
  4. Step 4: Simplify right side
    56,445x = 15,223,364,689
  5. Step 5: Solve for x
    x = 15,223,364,689/56,445
  6. Step 6: Final answer
    x = 269,702.63

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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.