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Finding the Third Proportional to 109,804 and 149,153

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Solution

The third proportional to 109,804 and 149,153 is: 202,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804 : 149,153 = 149,153 : x
  2. Step 2: Convert to fraction form
    109,804/149,153 = 149,153/x
  3. Step 3: Cross multiply
    109,804x = 149,153 × 149,153
  4. Step 4: Simplify right side
    109,804x = 22,246,617,409
  5. Step 5: Solve for x
    x = 22,246,617,409/109,804
  6. Step 6: Final answer
    x = 202,602.98

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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.