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Finding the Third Proportional to 97,597 and 213,042

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Solution

The third proportional to 97,597 and 213,042 is: 465,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,597 : 213,042 = 213,042 : x
  2. Step 2: Convert to fraction form
    97,597/213,042 = 213,042/x
  3. Step 3: Cross multiply
    97,597x = 213,042 × 213,042
  4. Step 4: Simplify right side
    97,597x = 45,386,893,764
  5. Step 5: Solve for x
    x = 45,386,893,764/97,597
  6. Step 6: Final answer
    x = 465,043.94

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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.