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Finding the Third Proportional to 120,726 and 163,957

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Solution

The third proportional to 120,726 and 163,957 is: 222,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726 : 163,957 = 163,957 : x
  2. Step 2: Convert to fraction form
    120,726/163,957 = 163,957/x
  3. Step 3: Cross multiply
    120,726x = 163,957 × 163,957
  4. Step 4: Simplify right side
    120,726x = 26,881,897,849
  5. Step 5: Solve for x
    x = 26,881,897,849/120,726
  6. Step 6: Final answer
    x = 222,668.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.