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Finding the Third Proportional to 108,378 and 144,963

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Solution

The third proportional to 108,378 and 144,963 is: 193,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,378 : 144,963 = 144,963 : x
  2. Step 2: Convert to fraction form
    108,378/144,963 = 144,963/x
  3. Step 3: Cross multiply
    108,378x = 144,963 × 144,963
  4. Step 4: Simplify right side
    108,378x = 21,014,271,369
  5. Step 5: Solve for x
    x = 21,014,271,369/108,378
  6. Step 6: Final answer
    x = 193,897.94

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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.