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Finding the Third Proportional to 108,148 and 144,662

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Solution

The third proportional to 108,148 and 144,662 is: 193,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,148 : 144,662 = 144,662 : x
  2. Step 2: Convert to fraction form
    108,148/144,662 = 144,662/x
  3. Step 3: Cross multiply
    108,148x = 144,662 × 144,662
  4. Step 4: Simplify right side
    108,148x = 20,927,094,244
  5. Step 5: Solve for x
    x = 20,927,094,244/108,148
  6. Step 6: Final answer
    x = 193,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.