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Finding the Third Proportional to 45,202 and 96,602

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Solution

The third proportional to 45,202 and 96,602 is: 206,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202 : 96,602 = 96,602 : x
  2. Step 2: Convert to fraction form
    45,202/96,602 = 96,602/x
  3. Step 3: Cross multiply
    45,202x = 96,602 × 96,602
  4. Step 4: Simplify right side
    45,202x = 9,331,946,404
  5. Step 5: Solve for x
    x = 9,331,946,404/45,202
  6. Step 6: Final answer
    x = 206,449.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.