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Finding the Third Proportional to 104,073 and 227,407.13

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Solution

The third proportional to 104,073 and 227,407.13 is: 496,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,073 : 227,407.13 = 227,407.13 : x
  2. Step 2: Convert to fraction form
    104,073/227,407.13 = 227,407.13/x
  3. Step 3: Cross multiply
    104,073x = 227,407.13 × 227,407.13
  4. Step 4: Simplify right side
    104,073x = 51,714,000,500.77
  5. Step 5: Solve for x
    x = 51,714,000,500.77/104,073
  6. Step 6: Final answer
    x = 496,901.22

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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.