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Finding the Third Proportional to 97,605 and 213,058

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Solution

The third proportional to 97,605 and 213,058 is: 465,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,605 : 213,058 = 213,058 : x
  2. Step 2: Convert to fraction form
    97,605/213,058 = 213,058/x
  3. Step 3: Cross multiply
    97,605x = 213,058 × 213,058
  4. Step 4: Simplify right side
    97,605x = 45,393,711,364
  5. Step 5: Solve for x
    x = 45,393,711,364/97,605
  6. Step 6: Final answer
    x = 465,075.68

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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.