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Finding the Third Proportional to 102,712 and 226,160

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Solution

The third proportional to 102,712 and 226,160 is: 497,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,712 : 226,160 = 226,160 : x
  2. Step 2: Convert to fraction form
    102,712/226,160 = 226,160/x
  3. Step 3: Cross multiply
    102,712x = 226,160 × 226,160
  4. Step 4: Simplify right side
    102,712x = 51,148,345,600
  5. Step 5: Solve for x
    x = 51,148,345,600/102,712
  6. Step 6: Final answer
    x = 497,978.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.