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Finding the Third Proportional to 106,062 and 228,729

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Solution

The third proportional to 106,062 and 228,729 is: 493,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062 : 228,729 = 228,729 : x
  2. Step 2: Convert to fraction form
    106,062/228,729 = 228,729/x
  3. Step 3: Cross multiply
    106,062x = 228,729 × 228,729
  4. Step 4: Simplify right side
    106,062x = 52,316,955,441
  5. Step 5: Solve for x
    x = 52,316,955,441/106,062
  6. Step 6: Final answer
    x = 493,267.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.