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Finding the Third Proportional to 97,045 and 145,694

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Solution

The third proportional to 97,045 and 145,694 is: 218,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,045 : 145,694 = 145,694 : x
  2. Step 2: Convert to fraction form
    97,045/145,694 = 145,694/x
  3. Step 3: Cross multiply
    97,045x = 145,694 × 145,694
  4. Step 4: Simplify right side
    97,045x = 21,226,741,636
  5. Step 5: Solve for x
    x = 21,226,741,636/97,045
  6. Step 6: Final answer
    x = 218,730.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.