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Finding the Third Proportional to 97,825 and 131,033

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Solution

The third proportional to 97,825 and 131,033 is: 175,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,825 : 131,033 = 131,033 : x
  2. Step 2: Convert to fraction form
    97,825/131,033 = 131,033/x
  3. Step 3: Cross multiply
    97,825x = 131,033 × 131,033
  4. Step 4: Simplify right side
    97,825x = 17,169,647,089
  5. Step 5: Solve for x
    x = 17,169,647,089/97,825
  6. Step 6: Final answer
    x = 175,513.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.