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Finding the Third Proportional to 97,265.50 and 145,898

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Solution

The third proportional to 97,265.50 and 145,898 is: 218,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,265.50 : 145,898 = 145,898 : x
  2. Step 2: Convert to fraction form
    97,265.50/145,898 = 145,898/x
  3. Step 3: Cross multiply
    97,265.50x = 145,898 × 145,898
  4. Step 4: Simplify right side
    97,265.50x = 21,286,226,404
  5. Step 5: Solve for x
    x = 21,286,226,404/97,265.50
  6. Step 6: Final answer
    x = 218,846.63

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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.