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Finding the Third Proportional to 56,383.50 and 124,431

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Solution

The third proportional to 56,383.50 and 124,431 is: 274,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,383.50 : 124,431 = 124,431 : x
  2. Step 2: Convert to fraction form
    56,383.50/124,431 = 124,431/x
  3. Step 3: Cross multiply
    56,383.50x = 124,431 × 124,431
  4. Step 4: Simplify right side
    56,383.50x = 15,483,073,761
  5. Step 5: Solve for x
    x = 15,483,073,761/56,383.50
  6. Step 6: Final answer
    x = 274,602.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.