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Finding the Third Proportional to 103,681 and 226,127

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Solution

The third proportional to 103,681 and 226,127 is: 493,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 226,127 = 226,127 : x
  2. Step 2: Convert to fraction form
    103,681/226,127 = 226,127/x
  3. Step 3: Cross multiply
    103,681x = 226,127 × 226,127
  4. Step 4: Simplify right side
    103,681x = 51,133,420,129
  5. Step 5: Solve for x
    x = 51,133,420,129/103,681
  6. Step 6: Final answer
    x = 493,180.24

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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.