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Finding the Third Proportional to 97,590 and 213,030

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Solution

The third proportional to 97,590 and 213,030 is: 465,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,590 : 213,030 = 213,030 : x
  2. Step 2: Convert to fraction form
    97,590/213,030 = 213,030/x
  3. Step 3: Cross multiply
    97,590x = 213,030 × 213,030
  4. Step 4: Simplify right side
    97,590x = 45,381,780,900
  5. Step 5: Solve for x
    x = 45,381,780,900/97,590
  6. Step 6: Final answer
    x = 465,024.91

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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.