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Finding the Third Proportional to 97,041 and 144,963

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Solution

The third proportional to 97,041 and 144,963 is: 216,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,041 : 144,963 = 144,963 : x
  2. Step 2: Convert to fraction form
    97,041/144,963 = 144,963/x
  3. Step 3: Cross multiply
    97,041x = 144,963 × 144,963
  4. Step 4: Simplify right side
    97,041x = 21,014,271,369
  5. Step 5: Solve for x
    x = 21,014,271,369/97,041
  6. Step 6: Final answer
    x = 216,550.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.