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Finding the Third Proportional to 97,617 and 213,135

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Solution

The third proportional to 97,617 and 213,135 is: 465,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,617 : 213,135 = 213,135 : x
  2. Step 2: Convert to fraction form
    97,617/213,135 = 213,135/x
  3. Step 3: Cross multiply
    97,617x = 213,135 × 213,135
  4. Step 4: Simplify right side
    97,617x = 45,426,528,225
  5. Step 5: Solve for x
    x = 45,426,528,225/97,617
  6. Step 6: Final answer
    x = 465,354.68

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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.