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Finding the Third Proportional to 106,930.13 and 149,492.25

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Solution

The third proportional to 106,930.13 and 149,492.25 is: 208,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.13 : 149,492.25 = 149,492.25 : x
  2. Step 2: Convert to fraction form
    106,930.13/149,492.25 = 149,492.25/x
  3. Step 3: Cross multiply
    106,930.13x = 149,492.25 × 149,492.25
  4. Step 4: Simplify right side
    106,930.13x = 22,347,932,810.06
  5. Step 5: Solve for x
    x = 22,347,932,810.06/106,930.13
  6. Step 6: Final answer
    x = 208,995.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.