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Finding the Third Proportional to 56,254.50 and 122,373

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Solution

The third proportional to 56,254.50 and 122,373 is: 266,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,254.50 : 122,373 = 122,373 : x
  2. Step 2: Convert to fraction form
    56,254.50/122,373 = 122,373/x
  3. Step 3: Cross multiply
    56,254.50x = 122,373 × 122,373
  4. Step 4: Simplify right side
    56,254.50x = 14,975,151,129
  5. Step 5: Solve for x
    x = 14,975,151,129/56,254.50
  6. Step 6: Final answer
    x = 266,203.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.