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Finding the Third Proportional to 97,002 and 149,823

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Solution

The third proportional to 97,002 and 149,823 is: 231,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002 : 149,823 = 149,823 : x
  2. Step 2: Convert to fraction form
    97,002/149,823 = 149,823/x
  3. Step 3: Cross multiply
    97,002x = 149,823 × 149,823
  4. Step 4: Simplify right side
    97,002x = 22,446,931,329
  5. Step 5: Solve for x
    x = 22,446,931,329/97,002
  6. Step 6: Final answer
    x = 231,406.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.