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Finding the Third Proportional to 26,323 and 56,264

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Solution

The third proportional to 26,323 and 56,264 is: 120,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,323 : 56,264 = 56,264 : x
  2. Step 2: Convert to fraction form
    26,323/56,264 = 56,264/x
  3. Step 3: Cross multiply
    26,323x = 56,264 × 56,264
  4. Step 4: Simplify right side
    26,323x = 3,165,637,696
  5. Step 5: Solve for x
    x = 3,165,637,696/26,323
  6. Step 6: Final answer
    x = 120,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.