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Finding the Third Proportional to 106,572 and 227,712

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Solution

The third proportional to 106,572 and 227,712 is: 486,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,572 : 227,712 = 227,712 : x
  2. Step 2: Convert to fraction form
    106,572/227,712 = 227,712/x
  3. Step 3: Cross multiply
    106,572x = 227,712 × 227,712
  4. Step 4: Simplify right side
    106,572x = 51,852,754,944
  5. Step 5: Solve for x
    x = 51,852,754,944/106,572
  6. Step 6: Final answer
    x = 486,551.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.