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Finding the Third Proportional to 97,712 and 200,602

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Solution

The third proportional to 97,712 and 200,602 is: 411,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712 : 200,602 = 200,602 : x
  2. Step 2: Convert to fraction form
    97,712/200,602 = 200,602/x
  3. Step 3: Cross multiply
    97,712x = 200,602 × 200,602
  4. Step 4: Simplify right side
    97,712x = 40,241,162,404
  5. Step 5: Solve for x
    x = 40,241,162,404/97,712
  6. Step 6: Final answer
    x = 411,834.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.