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Finding the Third Proportional to 61,542 and 144,894

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Solution

The third proportional to 61,542 and 144,894 is: 341,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542 : 144,894 = 144,894 : x
  2. Step 2: Convert to fraction form
    61,542/144,894 = 144,894/x
  3. Step 3: Cross multiply
    61,542x = 144,894 × 144,894
  4. Step 4: Simplify right side
    61,542x = 20,994,271,236
  5. Step 5: Solve for x
    x = 20,994,271,236/61,542
  6. Step 6: Final answer
    x = 341,137.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.