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Finding the Third Proportional to 97,580 and 213,020

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Solution

The third proportional to 97,580 and 213,020 is: 465,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,580 : 213,020 = 213,020 : x
  2. Step 2: Convert to fraction form
    97,580/213,020 = 213,020/x
  3. Step 3: Cross multiply
    97,580x = 213,020 × 213,020
  4. Step 4: Simplify right side
    97,580x = 45,377,520,400
  5. Step 5: Solve for x
    x = 45,377,520,400/97,580
  6. Step 6: Final answer
    x = 465,028.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.